यदि \(\theta=0^\circ\) हो तो \(\sin \theta\) का मान क्या होगा?
If \(\theta=0^\circ\), what is the value of \(\sin \theta\)?
#trigonometric-functions
#sine
#standard-values
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\frac{1}{2}\)
B (1)
C (0)
D (-1)
Explanation opens after your attempt
Step 1
Concept
\(\sin 0^\circ=0\). In exams, remember the values of standard angles.
Step 2
Why this answer is correct
The correct answer is C. (0). \(\sin 0^\circ=0\). In exams, remember the values of standard angles.
Step 3
Exam Tip
\(\sin 0^\circ=0\) होता है। परीक्षा में मुख्य कोणों के मान याद रखें।
Login to save your score, XP, coins and progress. Login
यदि \(\theta=0^\circ\) हो तो \(\cos \theta\) का मान क्या है?
If \(\theta=0^\circ\), what is the value of \(\cos \theta\)?
#trigonometric-functions
#cosine
#standard-values
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (0)
C (-1)
D \(\frac{1}{2}\)
Explanation opens after your attempt
Step 1
Concept
\(\cos 0^\circ=1\). The table of standard angles helps you answer quickly.
Step 2
Why this answer is correct
The correct answer is A. (1). \(\cos 0^\circ=1\). The table of standard angles helps you answer quickly.
Step 3
Exam Tip
\(\cos 0^\circ=1\) होता है। आधारभूत कोणों की सारणी से उत्तर जल्दी मिलता है।
Login to save your score, XP, coins and progress. Login
यदि \(\theta=45^\circ\) हो तो \(\tan \theta\) का मान क्या होगा?
If \(\theta=45^\circ\), what is the value of \(\tan \theta\)?
#trigonometric-functions
#tangent
#standard-values
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B \(\sqrt{3}\)
C \(\frac{1}{\sqrt{3}}\)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(\tan 45^\circ=1\). Learn the standard values of \(\tan \theta\) separately.
Step 2
Why this answer is correct
The correct answer is D. (1). \(\tan 45^\circ=1\). Learn the standard values of \(\tan \theta\) separately.
Step 3
Exam Tip
\(\tan 45^\circ=1\) होता है। \(\tan \theta\) के मुख्य मान अलग से याद रखें।
Login to save your score, XP, coins and progress. Login
किस त्रिकोणमितीय फलन का व्युत्क्रम \(\sin \theta\) के बराबर होता है?
Which trigonometric function is the reciprocal of \(\sin \theta\)?
#trigonometric-functions
#reciprocal
#cosecant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\cos \theta\)
B \(\cosec \theta\)
C \(\sec \theta\)
D \(\cot \theta\)
Explanation opens after your attempt
Correct Answer
B. \(\cosec \theta\)
Step 1
Concept
\(\cosec \theta=\frac{1}{\sin \theta}\). Remember reciprocal relations in pairs.
Step 2
Why this answer is correct
The correct answer is B. \(\cosec \theta\). \(\cosec \theta=\frac{1}{\sin \theta}\). Remember reciprocal relations in pairs.
Step 3
Exam Tip
\(\cosec \theta=\frac{1}{\sin \theta}\) होता है। व्युत्क्रम संबंधों को जोड़ों में याद करें।
Login to save your score, XP, coins and progress. Login
किस त्रिकोणमितीय फलन का व्युत्क्रम \(\cos \theta\) के बराबर होता है?
Which trigonometric function is the reciprocal of \(\cos \theta\)?
#trigonometric-functions
#reciprocal
#secant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sin \theta\)
B \(\sec \theta\)
C \(\tan \theta\)
D \(\cot \theta\)
Explanation opens after your attempt
Correct Answer
B. \(\sec \theta\)
Step 1
Concept
\(\sec \theta=\frac{1}{\cos \theta}\). Do not confuse \(\sec \theta\) with \(\cosec \theta\) in exams.
Step 2
Why this answer is correct
The correct answer is B. \(\sec \theta\). \(\sec \theta=\frac{1}{\cos \theta}\). Do not confuse \(\sec \theta\) with \(\cosec \theta\) in exams.
Step 3
Exam Tip
\(\sec \theta=\frac{1}{\cos \theta}\) होता है। परीक्षा में \(\sec \theta\) और \(\cosec \theta\) को न मिलाएँ।
Login to save your score, XP, coins and progress. Login
किस त्रिकोणमितीय फलन का व्युत्क्रम \(\tan \theta\) के बराबर होता है?
Which trigonometric function is the reciprocal of \(\tan \theta\)?
#trigonometric-functions
#reciprocal
#cotangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sin \theta\)
B \(\cos \theta\)
C \(\cot \theta\)
D \(\sec \theta\)
Explanation opens after your attempt
Correct Answer
C. \(\cot \theta\)
Step 1
Concept
\(\cot \theta=\frac{1}{\tan \theta}\). Check reciprocal functions by writing them as formulas.
Step 2
Why this answer is correct
The correct answer is C. \(\cot \theta\). \(\cot \theta=\frac{1}{\tan \theta}\). Check reciprocal functions by writing them as formulas.
Step 3
Exam Tip
\(\cot \theta=\frac{1}{\tan \theta}\) होता है। व्युत्क्रम फलनों को सूत्र रूप में लिखकर जाँचें।
Login to save your score, XP, coins and progress. Login
\(\tan \theta\) किसके बराबर होता है?
What is \(\tan \theta\) equal to?
#trigonometric-functions
#tangent
#quotient-identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\frac{\sin \theta}{\cos \theta}\)
B \(\frac{\cos \theta}{\sin \theta}\)
C \(\sin \theta \cos \theta\)
D \(\frac{1}{\sin \theta}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{\sin \theta}{\cos \theta}\)
Step 1
Concept
\(\tan \theta=\frac{\sin \theta}{\cos \theta}\). Recognizing quotient relations is useful in easy questions.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{\sin \theta}{\cos \theta}\). \(\tan \theta=\frac{\sin \theta}{\cos \theta}\). Recognizing quotient relations is useful in easy questions.
Step 3
Exam Tip
\(\tan \theta=\frac{\sin \theta}{\cos \theta}\) होता है। भाग वाले संबंध पहचानना आसान प्रश्नों में उपयोगी है।
Login to save your score, XP, coins and progress. Login
\(\cot \theta\) किसके बराबर होता है?
What is \(\cot \theta\) equal to?
#trigonometric-functions
#cotangent
#quotient-identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\frac{\sin \theta}{\cos \theta}\)
B \(\sin \theta \cos \theta\)
C \(\frac{1}{\cos \theta}\)
D \(\frac{\cos \theta}{\sin \theta}\)
Explanation opens after your attempt
Correct Answer
D. \(\frac{\cos \theta}{\sin \theta}\)
Step 1
Concept
\(\cot \theta=\frac{\cos \theta}{\sin \theta}\). The relations of \(\tan \theta\) and \(\cot \theta\) are reciprocal.
Step 2
Why this answer is correct
The correct answer is D. \(\frac{\cos \theta}{\sin \theta}\). \(\cot \theta=\frac{\cos \theta}{\sin \theta}\). The relations of \(\tan \theta\) and \(\cot \theta\) are reciprocal.
Step 3
Exam Tip
\(\cot \theta=\frac{\cos \theta}{\sin \theta}\) होता है। \(\tan \theta\) और \(\cot \theta\) के संबंध उलटे होते हैं।
Login to save your score, XP, coins and progress. Login
मूल सर्वसमिका \(\sin^2 \theta+\cos^2 \theta\) का मान क्या होता है?
What is the value of the basic identity \(\sin^2 \theta+\cos^2 \theta\)?
#trigonometric-functions
#identity
#pythagorean-identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B \(\sin \theta\)
C (1)
D \(\cos \theta\)
Explanation opens after your attempt
Step 1
Concept
\(\sin^2 \theta+\cos^2 \theta=1\) is a basic identity. Use it as a base formula throughout the chapter.
Step 2
Why this answer is correct
The correct answer is C. (1). \(\sin^2 \theta+\cos^2 \theta=1\) is a basic identity. Use it as a base formula throughout the chapter.
Step 3
Exam Tip
\(\sin^2 \theta+\cos^2 \theta=1\) मूल सर्वसमिका है। इसे हर अध्याय में आधार सूत्र की तरह प्रयोग करें।
Login to save your score, XP, coins and progress. Login
\(\sec^2 \theta-\tan^2 \theta\) का मान क्या है?
What is the value of \(\sec^2 \theta-\tan^2 \theta\)?
#trigonometric-functions
#identity
#secant-tangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\tan \theta\)
B \(\sec \theta\)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
From \(\sec^2 \theta=1+\tan^2 \theta\), the value is (1). Rearrange the formula to get the answer.
Step 2
Why this answer is correct
The correct answer is D. (1). From \(\sec^2 \theta=1+\tan^2 \theta\), the value is (1). Rearrange the formula to get the answer.
Step 3
Exam Tip
\(\sec^2 \theta=1+\tan^2 \theta\) से मान (1) मिलता है। सूत्र को स्थानांतरित करके उत्तर निकालें।
Login to save your score, XP, coins and progress. Login
\(\cosec^2 \theta-\cot^2 \theta\) का मान क्या होगा?
What is the value of \(\cosec^2 \theta-\cot^2 \theta\)?
#trigonometric-functions
#identity
#cosecant-cotangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (0)
C \(\cot \theta\)
D \(\cosec \theta\)
Explanation opens after your attempt
Step 1
Concept
\(\cosec^2 \theta=1+\cot^2 \theta\). Remember similar identities together.
Step 2
Why this answer is correct
The correct answer is A. (1). \(\cosec^2 \theta=1+\cot^2 \theta\). Remember similar identities together.
Step 3
Exam Tip
\(\cosec^2 \theta=1+\cot^2 \theta\) होता है। समान प्रकार के सूत्रों को साथ में याद करें।
Login to save your score, XP, coins and progress. Login
\(\sin \theta\) का मूल काल क्या है?
What is the fundamental period of \(\sin \theta\)?
#trigonometric-functions
#period
#sine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\pi\)
B \(2\pi\)
C \(\frac{\pi}{2}\)
D \(4\pi\)
Explanation opens after your attempt
Correct Answer
B. \(2\pi\)
Step 1
Concept
The fundamental period of \(\sin \theta\) is \(2\pi\). In period questions, identify the function first.
Step 2
Why this answer is correct
The correct answer is B. \(2\pi\). The fundamental period of \(\sin \theta\) is \(2\pi\). In period questions, identify the function first.
Step 3
Exam Tip
\(\sin \theta\) का मूल काल \(2\pi\) होता है। काल संबंधी प्रश्नों में फलन का नाम पहले पहचानें।
Login to save your score, XP, coins and progress. Login
\(\cos \theta\) का मूल काल क्या होता है?
What is the fundamental period of \(\cos \theta\)?
#trigonometric-functions
#period
#cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\pi\)
B \(\frac{\pi}{2}\)
C \(4\pi\)
D \(2\pi\)
Explanation opens after your attempt
Correct Answer
D. \(2\pi\)
Step 1
Concept
The fundamental period of \(\cos \theta\) is \(2\pi\). \(\sin \theta\) and \(\cos \theta\) have the same period.
Step 2
Why this answer is correct
The correct answer is D. \(2\pi\). The fundamental period of \(\cos \theta\) is \(2\pi\). \(\sin \theta\) and \(\cos \theta\) have the same period.
Step 3
Exam Tip
\(\cos \theta\) का मूल काल \(2\pi\) होता है। \(\sin \theta\) और \(\cos \theta\) का काल समान है।
Login to save your score, XP, coins and progress. Login
\(\tan \theta\) का मूल काल क्या है?
What is the fundamental period of \(\tan \theta\)?
#trigonometric-functions
#period
#tangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\pi\)
B \(\frac{\pi}{2}\)
C \(\pi\)
D \(4\pi\)
Explanation opens after your attempt
Correct Answer
C. \(\pi\)
Step 1
Concept
The fundamental period of \(\tan \theta\) is \(\pi\). The period of \(\tan \theta\) differs from that of \(\sin \theta\).
Step 2
Why this answer is correct
The correct answer is C. \(\pi\). The fundamental period of \(\tan \theta\) is \(\pi\). The period of \(\tan \theta\) differs from that of \(\sin \theta\).
Step 3
Exam Tip
\(\tan \theta\) का मूल काल \(\pi\) होता है। \(\tan \theta\) का काल \(\sin \theta\) से अलग है।
Login to save your score, XP, coins and progress. Login
\(\cot \theta\) का मूल काल क्या होता है?
What is the fundamental period of \(\cot \theta\)?
#trigonometric-functions
#period
#cotangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\pi\)
B \(2\pi\)
C \(\frac{\pi}{2}\)
D \(3\pi\)
Explanation opens after your attempt
Correct Answer
A. \(\pi\)
Step 1
Concept
The fundamental period of \(\cot \theta\) is \(\pi\). \(\tan \theta\) and \(\cot \theta\) have the same period.
Step 2
Why this answer is correct
The correct answer is A. \(\pi\). The fundamental period of \(\cot \theta\) is \(\pi\). \(\tan \theta\) and \(\cot \theta\) have the same period.
Step 3
Exam Tip
\(\cot \theta\) का मूल काल \(\pi\) होता है। \(\tan \theta\) और \(\cot \theta\) का काल समान है।
Login to save your score, XP, coins and progress. Login
(\sin\(-\theta\)) किसके बराबर होता है?
What is (\sin\(-\theta\)) equal to?
#trigonometric-functions
#odd-function
#sine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sin \theta\)
B \(-\sin \theta\)
C \(\cos \theta\)
D \(-\cos \theta\)
Explanation opens after your attempt
Correct Answer
B. \(-\sin \theta\)
Step 1
Concept
\(\sin \theta\) is an odd function, so (\sin\(-\theta\)=-\sin \theta). For negative angles, identify even-odd properties.
Step 2
Why this answer is correct
The correct answer is B. \(-\sin \theta\). \(\sin \theta\) is an odd function, so (\sin\(-\theta\)=-\sin \theta). For negative angles, identify even-odd properties.
Step 3
Exam Tip
\(\sin \theta\) विषम फलन है इसलिए (\sin\(-\theta\)=-\sin \theta)। ऋण कोण वाले प्रश्नों में सम-विषम गुण पहचानें।
Login to save your score, XP, coins and progress. Login
(\cos\(-\theta\)) किसके बराबर होता है?
What is (\cos\(-\theta\)) equal to?
#trigonometric-functions
#even-function
#cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(-\cos \theta\)
B \(\sin \theta\)
C \(\cos \theta\)
D \(-\sin \theta\)
Explanation opens after your attempt
Correct Answer
C. \(\cos \theta\)
Step 1
Concept
\(\cos \theta\) is an even function, so (\cos\(-\theta\)=\cos \theta). In an even function, the negative sign does not change the value.
Step 2
Why this answer is correct
The correct answer is C. \(\cos \theta\). \(\cos \theta\) is an even function, so (\cos\(-\theta\)=\cos \theta). In an even function, the negative sign does not change the value.
Step 3
Exam Tip
\(\cos \theta\) सम फलन है इसलिए (\cos\(-\theta\)=\cos \theta)। सम फलन में ऋण चिह्न से मान नहीं बदलता।
Login to save your score, XP, coins and progress. Login
(\sec\(-\theta\)) किसके बराबर होता है?
What is (\sec\(-\theta\)) equal to?
#trigonometric-functions
#even-function
#secant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(-\sec \theta\)
B \(\cosec \theta\)
C \(-\cosec \theta\)
D \(\sec \theta\)
Explanation opens after your attempt
Correct Answer
D. \(\sec \theta\)
Step 1
Concept
\(\sec \theta\) is an even function, so (\sec\(-\theta\)=\sec \theta). Both \(\cos \theta\) and \(\sec \theta\) are even.
Step 2
Why this answer is correct
The correct answer is D. \(\sec \theta\). \(\sec \theta\) is an even function, so (\sec\(-\theta\)=\sec \theta). Both \(\cos \theta\) and \(\sec \theta\) are even.
Step 3
Exam Tip
\(\sec \theta\) सम फलन है इसलिए (\sec\(-\theta\)=\sec \theta)। \(\cos \theta\) और \(\sec \theta\) दोनों सम हैं।
Login to save your score, XP, coins and progress. Login
(\cosec\(-\theta\)) किसके बराबर होता है?
What is (\cosec\(-\theta\)) equal to?
#trigonometric-functions
#odd-function
#cosecant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\cosec \theta\)
B \(-\cosec \theta\)
C \(\sec \theta\)
D \(-\sec \theta\)
Explanation opens after your attempt
Correct Answer
B. \(-\cosec \theta\)
Step 1
Concept
\(\cosec \theta\) is an odd function, so (\cosec\(-\theta\)=-\cosec \theta). It behaves like the reciprocal of \(\sin \theta\).
Step 2
Why this answer is correct
The correct answer is B. \(-\cosec \theta\). \(\cosec \theta\) is an odd function, so (\cosec\(-\theta\)=-\cosec \theta). It behaves like the reciprocal of \(\sin \theta\).
Step 3
Exam Tip
\(\cosec \theta\) विषम फलन है इसलिए (\cosec\(-\theta\)=-\cosec \theta)। यह \(\sin \theta\) के व्युत्क्रम जैसा व्यवहार करता है।
Login to save your score, XP, coins and progress. Login
\(\sin \theta\) का परिसर क्या है?
What is the range of \(\sin \theta\)?
#trigonometric-functions
#range
#sine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ([0,1])
B \([1,\infty\))
C (\(-\infty,\infty\))
D ([-1,1])
Explanation opens after your attempt
Correct Answer
D. ([-1,1])
Step 1
Concept
The value of \(\sin \theta\) always lies in ([-1,1]). For range questions, check the maximum and minimum values.
Step 2
Why this answer is correct
The correct answer is D. ([-1,1]). The value of \(\sin \theta\) always lies in ([-1,1]). For range questions, check the maximum and minimum values.
Step 3
Exam Tip
\(\sin \theta\) का मान हमेशा ([-1,1]) में रहता है। परिसर पूछे जाने पर अधिकतम और न्यूनतम मान देखें।
Login to save your score, XP, coins and progress. Login
\(\cos \theta\) का परिसर कौन सा है?
Which is the range of \(\cos \theta\)?
#trigonometric-functions
#range
#cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ([-1,1])
B \([0,\infty\))
C \([1,\infty\))
D (\(-\infty,-1]\)
Explanation opens after your attempt
Correct Answer
A. ([-1,1])
Step 1
Concept
The range of \(\cos \theta\) is ([-1,1]). \(\sin \theta\) and \(\cos \theta\) have the same range.
Step 2
Why this answer is correct
The correct answer is A. ([-1,1]). The range of \(\cos \theta\) is ([-1,1]). \(\sin \theta\) and \(\cos \theta\) have the same range.
Step 3
Exam Tip
\(\cos \theta\) का परिसर ([-1,1]) है। \(\sin \theta\) और \(\cos \theta\) का परिसर समान होता है।
Login to save your score, XP, coins and progress. Login
\(\tan \theta\) का परिसर क्या होता है?
What is the range of \(\tan \theta\)?
#trigonometric-functions
#range
#tangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ([-1,1])
B ([0,1])
C (\(-\infty,\infty\))
D \([1,\infty\))
Explanation opens after your attempt
Correct Answer
C. (\(-\infty,\infty\))
Step 1
Concept
\(\tan \theta\) can take all real values. Therefore its range is (\(-\infty,\infty\)).
Step 2
Why this answer is correct
The correct answer is C. (\(-\infty,\infty\)). \(\tan \theta\) can take all real values. Therefore its range is (\(-\infty,\infty\)).
Step 3
Exam Tip
\(\tan \theta\) सभी वास्तविक मान ले सकता है। इसलिए इसका परिसर (\(-\infty,\infty\)) है।
Login to save your score, XP, coins and progress. Login
\(\sec \theta\) का परिसर कौन सा है?
Which is the range of \(\sec \theta\)?
#trigonometric-functions
#range
#secant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ([-1,1])
B (\(-\infty,-1]\cup[1,\infty\))
C ([0,1])
D (\(-\infty,\infty\))
Explanation opens after your attempt
Correct Answer
B. (\(-\infty,-1]\cup[1,\infty\))
Step 1
Concept
Since \(\sec \theta=\frac{1}{\cos \theta}\), its values do not lie inside ([-1,1]). Its range is (\(-\infty,-1]\cup[1,\infty\)).
Step 2
Why this answer is correct
The correct answer is B. (\(-\infty,-1]\cup[1,\infty\)). Since \(\sec \theta=\frac{1}{\cos \theta}\), its values do not lie inside ([-1,1]). Its range is (\(-\infty,-1]\cup[1,\infty\)).
Step 3
Exam Tip
\(\sec \theta=\frac{1}{\cos \theta}\) होने से इसके मान ([-1,1]) के अंदर नहीं आते। परिसर (\(-\infty,-1]\cup[1,\infty\)) होता है।
Login to save your score, XP, coins and progress. Login
\(\cosec \theta\) का परिसर क्या है?
What is the range of \(\cosec \theta\)?
#trigonometric-functions
#range
#cosecant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ([0,1])
B ([-1,1])
C (\(-\infty,0\))
D (\(-\infty,-1]\cup[1,\infty\))
Explanation opens after your attempt
Correct Answer
D. (\(-\infty,-1]\cup[1,\infty\))
Step 1
Concept
\(\cosec \theta=\frac{1}{\sin \theta}\). Its range is (\(-\infty,-1]\cup[1,\infty\)).
Step 2
Why this answer is correct
The correct answer is D. (\(-\infty,-1]\cup[1,\infty\)). \(\cosec \theta=\frac{1}{\sin \theta}\). Its range is (\(-\infty,-1]\cup[1,\infty\)).
Step 3
Exam Tip
\(\cosec \theta=\frac{1}{\sin \theta}\) होता है। इसका परिसर (\(-\infty,-1]\cup[1,\infty\)) है।
Login to save your score, XP, coins and progress. Login
\(\cot \theta\) का परिसर क्या होता है?
What is the range of \(\cot \theta\)?
#trigonometric-functions
#range
#cotangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (\(-\infty,\infty\))
B ([-1,1])
C \([1,\infty\))
D ([0,1])
Explanation opens after your attempt
Correct Answer
A. (\(-\infty,\infty\))
Step 1
Concept
\(\cot \theta\) can take all real values. \(\tan \theta\) and \(\cot \theta\) have the same range.
Step 2
Why this answer is correct
The correct answer is A. (\(-\infty,\infty\)). \(\cot \theta\) can take all real values. \(\tan \theta\) and \(\cot \theta\) have the same range.
Step 3
Exam Tip
\(\cot \theta\) सभी वास्तविक मान ले सकता है। \(\tan \theta\) और \(\cot \theta\) का परिसर समान है।
Login to save your score, XP, coins and progress. Login
\(\tan \theta\) किस स्थिति में अपरिभाषित होता है?
When is \(\tan \theta\) undefined?
#trigonometric-functions
#domain
#tangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A जब \(\sin \theta=0\) / when \(\sin \theta=0\)
B जब \(\cos \theta=0\) / when \(\cos \theta=0\)
C जब \(\tan \theta=0\) / when \(\tan \theta=0\)
D जब \(\sec \theta=1\) / when \(\sec \theta=1\)
Explanation opens after your attempt
Correct Answer
B. जब \(\cos \theta=0\) / when \(\cos \theta=0\)
Step 1
Concept
\(\tan \theta=\frac{\sin \theta}{\cos \theta}\), so it is undefined when \(\cos \theta=0\). The denominator must not be zero.
Step 2
Why this answer is correct
The correct answer is B. जब \(\cos \theta=0\) / when \(\cos \theta=0\). \(\tan \theta=\frac{\sin \theta}{\cos \theta}\), so it is undefined when \(\cos \theta=0\). The denominator must not be zero.
Step 3
Exam Tip
\(\tan \theta=\frac{\sin \theta}{\cos \theta}\) है इसलिए \(\cos \theta=0\) पर यह अपरिभाषित होता है। हर में शून्य नहीं होना चाहिए।
Login to save your score, XP, coins and progress. Login
\(\sec \theta\) किस स्थिति में अपरिभाषित होता है?
When is \(\sec \theta\) undefined?
#trigonometric-functions
#domain
#secant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A जब \(\cos \theta=0\) / when \(\cos \theta=0\)
B जब \(\sin \theta=0\) / when \(\sin \theta=0\)
C जब \(\cot \theta=0\) / when \(\cot \theta=0\)
D जब \(\cos \theta=1\) / when \(\cos \theta=1\)
Explanation opens after your attempt
Correct Answer
A. जब \(\cos \theta=0\) / when \(\cos \theta=0\)
Step 1
Concept
\(\sec \theta=\frac{1}{\cos \theta}\), so it is undefined when \(\cos \theta=0\). Check the denominator in reciprocal functions.
Step 2
Why this answer is correct
The correct answer is A. जब \(\cos \theta=0\) / when \(\cos \theta=0\). \(\sec \theta=\frac{1}{\cos \theta}\), so it is undefined when \(\cos \theta=0\). Check the denominator in reciprocal functions.
Step 3
Exam Tip
\(\sec \theta=\frac{1}{\cos \theta}\) है इसलिए \(\cos \theta=0\) पर यह अपरिभाषित है। व्युत्क्रम फलन में हर की जाँच करें।
Login to save your score, XP, coins and progress. Login
\(\cosec \theta\) किस स्थिति में अपरिभाषित होता है?
When is \(\cosec \theta\) undefined?
#trigonometric-functions
#domain
#cosecant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A जब \(\cos \theta=0\) / when \(\cos \theta=0\)
B जब \(\tan \theta=1\) / when \(\tan \theta=1\)
C जब \(\sin \theta=0\) / when \(\sin \theta=0\)
D जब \(\sec \theta=1\) / when \(\sec \theta=1\)
Explanation opens after your attempt
Correct Answer
C. जब \(\sin \theta=0\) / when \(\sin \theta=0\)
Step 1
Concept
\(\cosec \theta=\frac{1}{\sin \theta}\), so it is undefined when \(\sin \theta=0\). A function is not defined when the denominator is zero.
Step 2
Why this answer is correct
The correct answer is C. जब \(\sin \theta=0\) / when \(\sin \theta=0\). \(\cosec \theta=\frac{1}{\sin \theta}\), so it is undefined when \(\sin \theta=0\). A function is not defined when the denominator is zero.
Step 3
Exam Tip
\(\cosec \theta=\frac{1}{\sin \theta}\) है इसलिए \(\sin \theta=0\) पर यह अपरिभाषित होता है। हर शून्य होने पर फलन नहीं बनता।
Login to save your score, XP, coins and progress. Login
\(\cot \theta\) किस स्थिति में अपरिभाषित होता है?
When is \(\cot \theta\) undefined?
#trigonometric-functions
#domain
#cotangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A जब \(\cos \theta=0\) / when \(\cos \theta=0\)
B जब \(\sec \theta=0\) / when \(\sec \theta=0\)
C \जब \(\tan \theta=1\) / when \(\tan \theta=1\)
D जब \(\sin \theta=0\) / when \(\sin \theta=0\)
Explanation opens after your attempt
Correct Answer
D. जब \(\sin \theta=0\) / when \(\sin \theta=0\)
Step 1
Concept
\(\cot \theta=\frac{\cos \theta}{\sin \theta}\), so it is undefined when \(\sin \theta=0\). In quotient functions, identify the denominator.
Step 2
Why this answer is correct
The correct answer is D. जब \(\sin \theta=0\) / when \(\sin \theta=0\). \(\cot \theta=\frac{\cos \theta}{\sin \theta}\), so it is undefined when \(\sin \theta=0\). In quotient functions, identify the denominator.
Step 3
Exam Tip
\(\cot \theta=\frac{\cos \theta}{\sin \theta}\) है इसलिए \(\sin \theta=0\) पर यह अपरिभाषित होता है। भाग वाले फलनों में हर पहचानें।
Login to save your score, XP, coins and progress. Login
(\sin\(\pi+\theta\)) किसके बराबर होता है?
What is (\sin\(\pi+\theta\)) equal to?
#trigonometric-functions
#angle-transformation
#sine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A -\(\sin \theta\)
B \(\sin \theta\)
C \(\cos \theta\)
D -\(\cos \theta\)
Explanation opens after your attempt
Correct Answer
A. -\(\sin \theta\)
Step 1
Concept
(\sin\(\pi+\theta\)=-\sin \theta). In the third quadrant, \(\sin \theta\) is negative.
Step 2
Why this answer is correct
The correct answer is A. -\(\sin \theta\). (\sin\(\pi+\theta\)=-\sin \theta). In the third quadrant, \(\sin \theta\) is negative.
Step 3
Exam Tip
(\sin\(\pi+\theta\)=-\sin \theta) होता है। तीसरे चतुर्थांश में \(\sin \theta\) का चिह्न ऋण होता है।
Login to save your score, XP, coins and progress. Login
(\cos\(\pi+\theta\)) किसके बराबर होता है?
What is (\cos\(\pi+\theta\)) equal to?
#trigonometric-functions
#angle-transformation
#cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\cos \theta\)
B -\(\cos \theta\)
C \(\sin \theta\)
D -\(\sin \theta\)
Explanation opens after your attempt
Correct Answer
B. -\(\cos \theta\)
Step 1
Concept
(\cos\(\pi+\theta\)=-\cos \theta). In the third quadrant, \(\cos \theta\) is negative.
Step 2
Why this answer is correct
The correct answer is B. -\(\cos \theta\). (\cos\(\pi+\theta\)=-\cos \theta). In the third quadrant, \(\cos \theta\) is negative.
Step 3
Exam Tip
(\cos\(\pi+\theta\)=-\cos \theta) होता है। तीसरे चतुर्थांश में \(\cos \theta\) का चिह्न ऋण होता है।
Login to save your score, XP, coins and progress. Login
(\tan\(\pi+\theta\)) किसके बराबर होता है?
What is (\tan\(\pi+\theta\)) equal to?
#trigonometric-functions
#period
#angle-transformation
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A -\(\tan \theta\)
B \(\cot \theta\)
C \(\tan \theta\)
D -\(\cot \theta\)
Explanation opens after your attempt
Correct Answer
C. \(\tan \theta\)
Step 1
Concept
The period of \(\tan \theta\) is \(\pi\), so (\tan\(\pi+\theta\)=\tan \theta). Knowing periods makes transformations easier.
Step 2
Why this answer is correct
The correct answer is C. \(\tan \theta\). The period of \(\tan \theta\) is \(\pi\), so (\tan\(\pi+\theta\)=\tan \theta). Knowing periods makes transformations easier.
Step 3
Exam Tip
\(\tan \theta\) का काल \(\pi\) है इसलिए (\tan\(\pi+\theta\)=\tan \theta)। काल याद रखने से रूपांतरण आसान होता है।
Login to save your score, XP, coins and progress. Login
(\sin\(2\pi+\theta\)) किसके बराबर होता है?
What is (\sin\(2\pi+\theta\)) equal to?
#trigonometric-functions
#period
#sine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A -\(\sin \theta\)
B \(\cos \theta\)
C -\(\cos \theta\)
D \(\sin \theta\)
Explanation opens after your attempt
Correct Answer
D. \(\sin \theta\)
Step 1
Concept
The period of \(\sin \theta\) is \(2\pi\), so the value remains \(\sin \theta\). Adding a full cycle does not change \(\sin \theta\).
Step 2
Why this answer is correct
The correct answer is D. \(\sin \theta\). The period of \(\sin \theta\) is \(2\pi\), so the value remains \(\sin \theta\). Adding a full cycle does not change \(\sin \theta\).
Step 3
Exam Tip
\(\sin \theta\) का काल \(2\pi\) है इसलिए मान \(\sin \theta\) ही रहता है। पूर्ण चक्र जुड़ने पर \(\sin \theta\) नहीं बदलता।
Login to save your score, XP, coins and progress. Login
(\cos\(2\pi+\theta\)) किसके बराबर होता है?
What is (\cos\(2\pi+\theta\)) equal to?
#trigonometric-functions
#period
#cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\cos \theta\)
B -\(\cos \theta\)
C \(\sin \theta\)
D -\(\sin \theta\)
Explanation opens after your attempt
Correct Answer
A. \(\cos \theta\)
Step 1
Concept
The period of \(\cos \theta\) is \(2\pi\). Therefore (\cos\(2\pi+\theta\)=\cos \theta).
Step 2
Why this answer is correct
The correct answer is A. \(\cos \theta\). The period of \(\cos \theta\) is \(2\pi\). Therefore (\cos\(2\pi+\theta\)=\cos \theta).
Step 3
Exam Tip
\(\cos \theta\) का काल \(2\pi\) है। इसलिए (\cos\(2\pi+\theta\)=\cos \theta) होता है।
Login to save your score, XP, coins and progress. Login
(\sin\(\pi-\theta\)) किसके बराबर होता है?
What is (\sin\(\pi-\theta\)) equal to?
#trigonometric-functions
#angle-transformation
#sine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A -\(\sin \theta\)
B \(\sin \theta\)
C \(\cos \theta\)
D -\(\cos \theta\)
Explanation opens after your attempt
Correct Answer
B. \(\sin \theta\)
Step 1
Concept
(\sin\(\pi-\theta\)=\sin \theta). In the second quadrant, \(\sin \theta\) is positive.
Step 2
Why this answer is correct
The correct answer is B. \(\sin \theta\). (\sin\(\pi-\theta\)=\sin \theta). In the second quadrant, \(\sin \theta\) is positive.
Step 3
Exam Tip
(\sin\(\pi-\theta\)=\sin \theta) होता है। दूसरे चतुर्थांश में \(\sin \theta\) धनात्मक होता है।
Login to save your score, XP, coins and progress. Login
(\cos\(\pi-\theta\)) किसके बराबर होता है?
What is (\cos\(\pi-\theta\)) equal to?
#trigonometric-functions
#angle-transformation
#cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\cos \theta\)
B \(\sin \theta\)
C -\(\cos \theta\)
D -\(\sin \theta\)
Explanation opens after your attempt
Correct Answer
C. -\(\cos \theta\)
Step 1
Concept
(\cos\(\pi-\theta\)=-\cos \theta). In the second quadrant, \(\cos \theta\) is negative.
Step 2
Why this answer is correct
The correct answer is C. -\(\cos \theta\). (\cos\(\pi-\theta\)=-\cos \theta). In the second quadrant, \(\cos \theta\) is negative.
Step 3
Exam Tip
(\cos\(\pi-\theta\)=-\cos \theta) होता है। दूसरे चतुर्थांश में \(\cos \theta\) ऋणात्मक होता है।
Login to save your score, XP, coins and progress. Login
(\tan\(\pi-\theta\)) किसके बराबर होता है?
What is (\tan\(\pi-\theta\)) equal to?
#trigonometric-functions
#angle-transformation
#tangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\tan \theta\)
B \(\cot \theta\)
C -\(\cot \theta\)
D -\(\tan \theta\)
Explanation opens after your attempt
Correct Answer
D. -\(\tan \theta\)
Step 1
Concept
(\tan\(\pi-\theta\)=-\tan \theta). In the second quadrant, \(\tan \theta\) is negative.
Step 2
Why this answer is correct
The correct answer is D. -\(\tan \theta\). (\tan\(\pi-\theta\)=-\tan \theta). In the second quadrant, \(\tan \theta\) is negative.
Step 3
Exam Tip
(\tan\(\pi-\theta\)=-\tan \theta) होता है। दूसरे चतुर्थांश में \(\tan \theta\) ऋणात्मक होता है।
Login to save your score, XP, coins and progress. Login
(\sin\left\(\frac{\pi}{2}-\theta\right\)) किसके बराबर होता है?
What is (\sin\left\(\frac{\pi}{2}-\theta\right\)) equal to?
#trigonometric-functions
#cofunction
#sine-cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\cos \theta\)
B \(\sin \theta\)
C -\(\cos \theta\)
D \(\tan \theta\)
Explanation opens after your attempt
Correct Answer
A. \(\cos \theta\)
Step 1
Concept
(\sin\left\(\frac{\pi}{2}-\theta\right\)=\cos \theta) is a cofunction relation. In transformations with \(\frac{\pi}{2}\), the function changes.
Step 2
Why this answer is correct
The correct answer is A. \(\cos \theta\). (\sin\left\(\frac{\pi}{2}-\theta\right\)=\cos \theta) is a cofunction relation. In transformations with \(\frac{\pi}{2}\), the function changes.
Step 3
Exam Tip
(\sin\left\(\frac{\pi}{2}-\theta\right\)=\cos \theta) सह-फलन संबंध है। \(\frac{\pi}{2}\) वाले रूपांतरण में फलन बदलता है।
Login to save your score, XP, coins and progress. Login
(\cos\left\(\frac{\pi}{2}-\theta\right\)) किसके बराबर होता है?
What is (\cos\left\(\frac{\pi}{2}-\theta\right\)) equal to?
#trigonometric-functions
#cofunction
#cosine-sine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\cos \theta\)
B \(\sin \theta\)
C -\(\sin \theta\)
D \(\cot \theta\)
Explanation opens after your attempt
Correct Answer
B. \(\sin \theta\)
Step 1
Concept
(\cos\left\(\frac{\pi}{2}-\theta\right\)=\sin \theta). In cofunction relations, \(\sin \theta\) and \(\cos \theta\) interchange.
Step 2
Why this answer is correct
The correct answer is B. \(\sin \theta\). (\cos\left\(\frac{\pi}{2}-\theta\right\)=\sin \theta). In cofunction relations, \(\sin \theta\) and \(\cos \theta\) interchange.
Step 3
Exam Tip
(\cos\left\(\frac{\pi}{2}-\theta\right\)=\sin \theta) होता है। सह-फलन संबंध में \(\sin \theta\) और \(\cos \theta\) आपस में बदलते हैं।
Login to save your score, XP, coins and progress. Login
(\tan\left\(\frac{\pi}{2}-\theta\right\)) किसके बराबर होता है?
What is (\tan\left\(\frac{\pi}{2}-\theta\right\)) equal to?
#trigonometric-functions
#cofunction
#tangent-cotangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\tan \theta\)
B -\(\tan \theta\)
C \(\cot \theta\)
D -\(\cot \theta\)
Explanation opens after your attempt
Correct Answer
C. \(\cot \theta\)
Step 1
Concept
(\tan\left\(\frac{\pi}{2}-\theta\right\)=\cot \theta). The cofunction of \(\tan \theta\) is \(\cot \theta\).
Step 2
Why this answer is correct
The correct answer is C. \(\cot \theta\). (\tan\left\(\frac{\pi}{2}-\theta\right\)=\cot \theta). The cofunction of \(\tan \theta\) is \(\cot \theta\).
Step 3
Exam Tip
(\tan\left\(\frac{\pi}{2}-\theta\right\)=\cot \theta) होता है। \(\tan \theta\) का सह-फलन \(\cot \theta\) है।
Login to save your score, XP, coins and progress. Login
(\sec\left\(\frac{\pi}{2}-\theta\right\)) किसके बराबर होता है?
What is (\sec\left\(\frac{\pi}{2}-\theta\right\)) equal to?
#trigonometric-functions
#cofunction
#secant-cosecant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sec \theta\)
B \(\cot \theta\)
C \(\cos \theta\)
D \(\cosec \theta\)
Explanation opens after your attempt
Correct Answer
D. \(\cosec \theta\)
Step 1
Concept
(\sec\left\(\frac{\pi}{2}-\theta\right\)=\cosec \theta). \(\sec \theta\) and \(\cosec \theta\) are cofunctions.
Step 2
Why this answer is correct
The correct answer is D. \(\cosec \theta\). (\sec\left\(\frac{\pi}{2}-\theta\right\)=\cosec \theta). \(\sec \theta\) and \(\cosec \theta\) are cofunctions.
Step 3
Exam Tip
(\sec\left\(\frac{\pi}{2}-\theta\right\)=\cosec \theta) होता है। \(\sec \theta\) और \(\cosec \theta\) सह-फलन हैं।
Login to save your score, XP, coins and progress. Login
\(\sin 30^\circ\) का मान क्या है?
What is the value of \(\sin 30^\circ\)?
#trigonometric-functions
#standard-values
#sine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\frac{1}{2}\)
B \(\frac{\sqrt{3}}{2}\)
C \(\frac{1}{\sqrt{2}}\)
D (1)
Explanation opens after your attempt
Correct Answer
A. \(\frac{1}{2}\)
Step 1
Concept
\(\sin 30^\circ=\frac{1}{2}\). Values of \(30^\circ\) and \(60^\circ\) are often asked.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{1}{2}\). \(\sin 30^\circ=\frac{1}{2}\). Values of \(30^\circ\) and \(60^\circ\) are often asked.
Step 3
Exam Tip
\(\sin 30^\circ=\frac{1}{2}\) होता है। \(30^\circ\) और \(60^\circ\) के मान अक्सर पूछे जाते हैं।
Login to save your score, XP, coins and progress. Login
\(\cos 60^\circ\) का मान क्या है?
What is the value of \(\cos 60^\circ\)?
#trigonometric-functions
#standard-values
#cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B \(\frac{1}{2}\)
C \(\frac{\sqrt{3}}{2}\)
D (1)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{2}\)
Step 1
Concept
\(\cos 60^\circ=\frac{1}{2}\). \(\sin 30^\circ\) and \(\cos 60^\circ\) are equal.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{1}{2}\). \(\cos 60^\circ=\frac{1}{2}\). \(\sin 30^\circ\) and \(\cos 60^\circ\) are equal.
Step 3
Exam Tip
\(\cos 60^\circ=\frac{1}{2}\) होता है। \(\sin 30^\circ\) और \(\cos 60^\circ\) बराबर होते हैं।
Login to save your score, XP, coins and progress. Login
\(\tan 30^\circ\) का मान क्या होता है?
What is the value of \(\tan 30^\circ\)?
#trigonometric-functions
#standard-values
#tangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\sqrt{3}\)
B (1)
C \(\frac{1}{\sqrt{3}}\)
D (0)
Explanation opens after your attempt
Correct Answer
C. \(\frac{1}{\sqrt{3}}\)
Step 1
Concept
\(\tan 30^\circ=\frac{1}{\sqrt{3}}\). Remember \(\tan 30^\circ\) and \(\tan 60^\circ\) separately.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{1}{\sqrt{3}}\). \(\tan 30^\circ=\frac{1}{\sqrt{3}}\). Remember \(\tan 30^\circ\) and \(\tan 60^\circ\) separately.
Step 3
Exam Tip
\(\tan 30^\circ=\frac{1}{\sqrt{3}}\) होता है। \(\tan 30^\circ\) और \(\tan 60^\circ\) को अलग-अलग याद करें।
Login to save your score, XP, coins and progress. Login
\(\sin 90^\circ\) का मान क्या है?
What is the value of \(\sin 90^\circ\)?
#trigonometric-functions
#standard-values
#sine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B \(\frac{1}{2}\)
C (-1)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(\sin 90^\circ=1\). This value comes directly from the standard-angle table.
Step 2
Why this answer is correct
The correct answer is D. (1). \(\sin 90^\circ=1\). This value comes directly from the standard-angle table.
Step 3
Exam Tip
\(\sin 90^\circ=1\) होता है। मुख्य कोणों की तालिका से यह सीधा मान मिलता है।
Login to save your score, XP, coins and progress. Login
\(\cos 90^\circ\) का मान क्या होता है?
What is the value of \(\cos 90^\circ\)?
#trigonometric-functions
#standard-values
#cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B (1)
C (-1)
D \(\frac{1}{2}\)
Explanation opens after your attempt
Step 1
Concept
\(\cos 90^\circ=0\). At \(90^\circ\), \(\cos \theta\) becomes zero.
Step 2
Why this answer is correct
The correct answer is A. (0). \(\cos 90^\circ=0\). At \(90^\circ\), \(\cos \theta\) becomes zero.
Step 3
Exam Tip
\(\cos 90^\circ=0\) होता है। \(90^\circ\) पर \(\cos \theta\) शून्य हो जाता है।
Login to save your score, XP, coins and progress. Login
\(\tan 0^\circ\) का मान क्या है?
What is the value of \(\tan 0^\circ\)?
#trigonometric-functions
#standard-values
#tangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (0)
C \(\sqrt{3}\)
D \(\frac{1}{\sqrt{3}}\)
Explanation opens after your attempt
Step 1
Concept
\(\tan 0^\circ=0\). It can also be checked using \(\tan \theta=\frac{\sin \theta}{\cos \theta}\).
Step 2
Why this answer is correct
The correct answer is B. (0). \(\tan 0^\circ=0\). It can also be checked using \(\tan \theta=\frac{\sin \theta}{\cos \theta}\).
Step 3
Exam Tip
\(\tan 0^\circ=0\) होता है। \(\tan \theta=\frac{\sin \theta}{\cos \theta}\) से भी इसे जाँचा जा सकता है।
Login to save your score, XP, coins and progress. Login
\(\sec 0^\circ\) का मान क्या होता है?
What is the value of \(\sec 0^\circ\)?
#trigonometric-functions
#standard-values
#secant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B \(\frac{1}{2}\)
C (1)
D अपरिभाषित / Undefined
Explanation opens after your attempt
Step 1
Concept
\(\sec 0^\circ=\frac{1}{\cos 0^\circ}=1\). While finding reciprocal values, first write the value of the basic function.
Step 2
Why this answer is correct
The correct answer is C. (1). \(\sec 0^\circ=\frac{1}{\cos 0^\circ}=1\). While finding reciprocal values, first write the value of the basic function.
Step 3
Exam Tip
\(\sec 0^\circ=\frac{1}{\cos 0^\circ}=1\) होता है। व्युत्क्रम मान निकालते समय मूल फलन का मान पहले लिखें।
Login to save your score, XP, coins and progress. Login
\(\sin^2 \theta\) किसके बराबर लिखा जा सकता है?
What can \(\sin^2 \theta\) be written as?
#trigonometric-functions
#identity
#sine-cosine
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(1-\cos^2 \theta\)
B \(1+\cos^2 \theta\)
C \(\cos^2 \theta-1\)
D \(\sec^2 \theta-1\)
Explanation opens after your attempt
Correct Answer
A. \(1-\cos^2 \theta\)
Step 1
Concept
From \(\sin^2 \theta+\cos^2 \theta=1\), we get \(\sin^2 \theta=1-\cos^2 \theta\). In exams, write the basic identity first.
Step 2
Why this answer is correct
The correct answer is A. \(1-\cos^2 \theta\). From \(\sin^2 \theta+\cos^2 \theta=1\), we get \(\sin^2 \theta=1-\cos^2 \theta\). In exams, write the basic identity first.
Step 3
Exam Tip
\(\sin^2 \theta+\cos^2 \theta=1\) से \(\sin^2 \theta=1-\cos^2 \theta\) मिलता है। परीक्षा में मूल सर्वसमिका को पहले लिखें।
Login to save your score, XP, coins and progress. Login
\(\tan^2 \theta+1\) किसके बराबर होता है?
What is \(\tan^2 \theta+1\) equal to?
#trigonometric-functions
#identity
#secant-tangent
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(\cosec^2 \theta\)
B \(\sec^2 \theta\)
C \(\cot^2 \theta\)
D \(\sin^2 \theta\)
Explanation opens after your attempt
Correct Answer
B. \(\sec^2 \theta\)
Step 1
Concept
\(\sec^2 \theta=1+\tan^2 \theta\). In questions involving \(\tan \theta\), recognizing \(\sec^2 \theta\) is useful.
Step 2
Why this answer is correct
The correct answer is B. \(\sec^2 \theta\). \(\sec^2 \theta=1+\tan^2 \theta\). In questions involving \(\tan \theta\), recognizing \(\sec^2 \theta\) is useful.
Step 3
Exam Tip
\(\sec^2 \theta=1+\tan^2 \theta\) होता है। \(\tan \theta\) वाले प्रश्नों में \(\sec^2 \theta\) पहचानना उपयोगी है।
Login to save your score, XP, coins and progress. Login
