किसी कोण को सामान्य स्थिति में कब माना जाता है?
When is an angle said to be in standard position?
#trigonometry
#angles
#standard-position
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A प्रारंभिक भुजा (x)-अक्ष पर हो / Initial side lies on (x)-axis
B अंतिम भुजा (y)-अक्ष पर हो / Terminal side lies on (y)-axis
C कोण केवल \(90^\circ\) हो / Angle is only \(90^\circ\)
D कोण हमेशा ऋणात्मक हो / Angle is always negative
Explanation opens after your attempt
Correct Answer
A. प्रारंभिक भुजा (x)-अक्ष पर हो / Initial side lies on (x)-axis
Step 1
Concept
In standard position the initial side lies on the positive (x)-axis. In exams identify the initial and terminal sides separately.
Step 2
Why this answer is correct
The correct answer is A. प्रारंभिक भुजा (x)-अक्ष पर हो / Initial side lies on (x)-axis. In standard position the initial side lies on the positive (x)-axis. In exams identify the initial and terminal sides separately.
Step 3
Exam Tip
सामान्य स्थिति में प्रारंभिक भुजा धनात्मक (x)-अक्ष पर होती है। परीक्षा में प्रारंभिक और अंतिम भुजा अलग पहचानें।
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यदि घूर्णन वामावर्त दिशा में हो तो कोण कैसा माना जाता है?
If rotation is anticlockwise then what type of angle is formed?
#trigonometry
#angles
#positive-angle
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A शून्य कोण / Zero angle
B ऋणात्मक कोण / Negative angle
C धनात्मक कोण / Positive angle
D समकोण / Right angle
Explanation opens after your attempt
Correct Answer
C. धनात्मक कोण / Positive angle
Step 1
Concept
Anticlockwise rotation gives a positive angle. Decide the sign by looking at the direction.
Step 2
Why this answer is correct
The correct answer is C. धनात्मक कोण / Positive angle. Anticlockwise rotation gives a positive angle. Decide the sign by looking at the direction.
Step 3
Exam Tip
वामावर्त घूर्णन धनात्मक कोण देता है। दिशा देखकर चिन्ह तुरंत तय करें।
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यदि घूर्णन दक्षिणावर्त दिशा में हो तो कोण कैसा माना जाता है?
If rotation is clockwise then what type of angle is formed?
#trigonometry
#angles
#negative-angle
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A धनात्मक कोण / Positive angle
B ऋणात्मक कोण / Negative angle
C न्यून कोण / Acute angle
D अधिक कोण / Obtuse angle
Explanation opens after your attempt
Correct Answer
B. ऋणात्मक कोण / Negative angle
Step 1
Concept
Clockwise rotation gives a negative angle. In easy questions direction is the main clue.
Step 2
Why this answer is correct
The correct answer is B. ऋणात्मक कोण / Negative angle. Clockwise rotation gives a negative angle. In easy questions direction is the main clue.
Step 3
Exam Tip
दक्षिणावर्त घूर्णन ऋणात्मक कोण देता है। आसान प्रश्नों में दिशा सबसे महत्वपूर्ण संकेत होती है।
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एक पूरा चक्कर कितने डिग्री के बराबर होता है?
One complete revolution is equal to how many degrees?
#trigonometry
#angles
#revolution
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A \(90^\circ\)
B \(180^\circ\)
C \(270^\circ\)
D \(360^\circ\)
Explanation opens after your attempt
Correct Answer
D. \(360^\circ\)
Step 1
Concept
One complete revolution is \(360^\circ\). For revolution questions remember \(360^\circ\).
Step 2
Why this answer is correct
The correct answer is D. \(360^\circ\). One complete revolution is \(360^\circ\). For revolution questions remember \(360^\circ\).
Step 3
Exam Tip
एक पूरा चक्कर \(360^\circ\) का होता है। चक्कर वाले प्रश्नों में \(360^\circ\) याद रखें।
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आधा चक्कर कितने डिग्री के बराबर होता है?
Half a revolution is equal to how many degrees?
#trigonometry
#angles
#half-revolution
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A \(45^\circ\)
B \(90^\circ\)
C \(180^\circ\)
D \(360^\circ\)
Explanation opens after your attempt
Correct Answer
C. \(180^\circ\)
Step 1
Concept
Half a revolution is \(180^\circ\). Take half of a complete \(360^\circ\) revolution.
Step 2
Why this answer is correct
The correct answer is C. \(180^\circ\). Half a revolution is \(180^\circ\). Take half of a complete \(360^\circ\) revolution.
Step 3
Exam Tip
आधा चक्कर \(180^\circ\) होता है। पूरा चक्कर \(360^\circ\) का आधा लें।
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एक चौथाई चक्कर कितने डिग्री के बराबर होता है?
A quarter revolution is equal to how many degrees?
#trigonometry
#angles
#quarter-turn
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A \(90^\circ\)
B \(120^\circ\)
C \(180^\circ\)
D \(270^\circ\)
Explanation opens after your attempt
Correct Answer
A. \(90^\circ\)
Step 1
Concept
A quarter revolution is \(360^\circ \div 4=90^\circ\). Use division to solve such questions quickly.
Step 2
Why this answer is correct
The correct answer is A. \(90^\circ\). A quarter revolution is \(360^\circ \div 4=90^\circ\). Use division to solve such questions quickly.
Step 3
Exam Tip
एक चौथाई चक्कर \(360^\circ \div 4=90^\circ\) होता है। भाग देकर ऐसे प्रश्न जल्दी हल करें।
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\(180^\circ\) कितने रेडियन के बराबर होता है?
\(180^\circ\) is equal to how many radians?
#trigonometry
#angles
#radian-measure
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A (1)
B \(2\pi\)
C \(\pi\)
D \(\frac{\pi}{2}\)
Explanation opens after your attempt
Correct Answer
C. \(\pi\)
Step 1
Concept
The basic relation is \(180^\circ=\pi\) radians. Use it as the base for degree to radian conversion.
Step 2
Why this answer is correct
The correct answer is C. \(\pi\). The basic relation is \(180^\circ=\pi\) radians. Use it as the base for degree to radian conversion.
Step 3
Exam Tip
मूल संबंध \(180^\circ=\pi\) रेडियन है। डिग्री से रेडियन में बदलते समय इसी को आधार बनाएं।
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\(360^\circ\) कितने रेडियन के बराबर होता है?
\(360^\circ\) is equal to how many radians?
#trigonometry
#angles
#full-angle
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A \(2\pi\)
B \(\pi\)
C \(\frac{\pi}{2}\)
D \(\frac{\pi}{4}\)
Explanation opens after your attempt
Correct Answer
A. \(2\pi\)
Step 1
Concept
Since \(180^\circ=\pi\), \(360^\circ=2\pi\). When the angle doubles the radian measure also doubles.
Step 2
Why this answer is correct
The correct answer is A. \(2\pi\). Since \(180^\circ=\pi\), \(360^\circ=2\pi\). When the angle doubles the radian measure also doubles.
Step 3
Exam Tip
क्योंकि \(180^\circ=\pi\) है इसलिए \(360^\circ=2\pi\) होता है। दुगुने कोण में रेडियन भी दुगुना होता है।
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\(90^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(90^\circ\)?
#trigonometry
#angles
#degree-to-radian
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A \(\pi\)
B \(\frac{\pi}{2}\)
C \(\frac{\pi}{3}\)
D \(\frac{\pi}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{\pi}{2}\)
Step 1
Concept
\(90^\circ\) is half of \(180^\circ\), so its radian measure is \(\frac{\pi}{2}\). Half the angle means half the radian measure.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{\pi}{2}\). \(90^\circ\) is half of \(180^\circ\), so its radian measure is \(\frac{\pi}{2}\). Half the angle means half the radian measure.
Step 3
Exam Tip
\(90^\circ\), \(180^\circ\) का आधा है इसलिए रेडियन \(\frac{\pi}{2}\) होगा। आधे कोण में रेडियन भी आधा होता है।
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\(45^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(45^\circ\)?
#trigonometry
#angles
#conversion
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A \(\frac{\pi}{6}\)
B \(\frac{\pi}{3}\)
C \(\frac{\pi}{4}\)
D \(\frac{\pi}{2}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{\pi}{4}\)
Step 1
Concept
\(45^\circ\) is \(\frac{1}{4}\) of \(180^\circ\), so it is \(\frac{\pi}{4}\) radians. The ratio method is simple.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{\pi}{4}\). \(45^\circ\) is \(\frac{1}{4}\) of \(180^\circ\), so it is \(\frac{\pi}{4}\) radians. The ratio method is simple.
Step 3
Exam Tip
\(45^\circ\), \(180^\circ\) का \(\frac{1}{4}\) भाग है इसलिए \(\frac{\pi}{4}\) रेडियन होगा। अनुपात विधि आसान रहती है।
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\(30^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(30^\circ\)?
#trigonometry
#angles
#degree-radian
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A \(\frac{\pi}{6}\)
B \(\frac{\pi}{5}\)
C \(\frac{\pi}{4}\)
D \(\frac{\pi}{3}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{\pi}{6}\)
Step 1
Concept
\(30^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{6}\). Multiply by \(\frac{\pi}{180^\circ}\) to convert degrees to radians.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{\pi}{6}\). \(30^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{6}\). Multiply by \(\frac{\pi}{180^\circ}\) to convert degrees to radians.
Step 3
Exam Tip
\(30^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{6}\) होता है। डिग्री से रेडियन में \(\frac{\pi}{180^\circ}\) से गुणा करें।
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\(60^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(60^\circ\)?
#trigonometry
#angles
#angle-conversion
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A \(\frac{\pi}{4}\)
B \(\frac{\pi}{3}\)
C \(\frac{\pi}{2}\)
D \(\frac{2\pi}{3}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{\pi}{3}\)
Step 1
Concept
\(60^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{3}\). Do not forget to simplify by (180).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{\pi}{3}\). \(60^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{3}\). Do not forget to simplify by (180).
Step 3
Exam Tip
\(60^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{3}\) होता है। (180) से सरल करना न भूलें।
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\(120^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(120^\circ\)?
#trigonometry
#angles
#radian-conversion
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A \(\frac{\pi}{3}\)
B \(\frac{\pi}{2}\)
C \(\frac{2\pi}{3}\)
D \(\frac{3\pi}{4}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{2\pi}{3}\)
Step 1
Concept
\(120^\circ \times \frac{\pi}{180^\circ}=\frac{2\pi}{3}\). Reduce the fraction before writing the answer.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{2\pi}{3}\). \(120^\circ \times \frac{\pi}{180^\circ}=\frac{2\pi}{3}\). Reduce the fraction before writing the answer.
Step 3
Exam Tip
\(120^\circ \times \frac{\pi}{180^\circ}=\frac{2\pi}{3}\) होता है। पहले भिन्न को घटाएं फिर उत्तर लिखें।
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\(150^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(150^\circ\)?
#trigonometry
#angles
#degree-conversion
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A \(\frac{5\pi}{6}\)
B \(\frac{3\pi}{4}\)
C \(\frac{2\pi}{3}\)
D \(\frac{7\pi}{6}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{5\pi}{6}\)
Step 1
Concept
\(150^\circ \times \frac{\pi}{180^\circ}=\frac{5\pi}{6}\). Simplify (150) and (180) by (30).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{5\pi}{6}\). \(150^\circ \times \frac{\pi}{180^\circ}=\frac{5\pi}{6}\). Simplify (150) and (180) by (30).
Step 3
Exam Tip
\(150^\circ \times \frac{\pi}{180^\circ}=\frac{5\pi}{6}\) होता है। (150) और (180) को (30) से सरल करें।
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\(\frac{\pi}{3}\) रेडियन कितने डिग्री के बराबर है?
\(\frac{\pi}{3}\) radians is equal to how many degrees?
#trigonometry
#angles
#radian-to-degree
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A \(30^\circ\)
B \(60^\circ\)
C \(90^\circ\)
D \(120^\circ\)
Explanation opens after your attempt
Correct Answer
B. \(60^\circ\)
Step 1
Concept
\(\frac{\pi}{3} \times \frac{180^\circ}{\pi}=60^\circ\). Multiply by \(\frac{180^\circ}{\pi}\) to convert radians to degrees.
Step 2
Why this answer is correct
The correct answer is B. \(60^\circ\). \(\frac{\pi}{3} \times \frac{180^\circ}{\pi}=60^\circ\). Multiply by \(\frac{180^\circ}{\pi}\) to convert radians to degrees.
Step 3
Exam Tip
\(\frac{\pi}{3} \times \frac{180^\circ}{\pi}=60^\circ\) होता है। रेडियन से डिग्री में \(\frac{180^\circ}{\pi}\) से गुणा करें।
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\(\frac{\pi}{6}\) रेडियन कितने डिग्री के बराबर है?
\(\frac{\pi}{6}\) radians is equal to how many degrees?
#trigonometry
#angles
#radian-degree
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A \(15^\circ\)
B \(45^\circ\)
C \(30^\circ\)
D \(60^\circ\)
Explanation opens after your attempt
Correct Answer
C. \(30^\circ\)
Step 1
Concept
Multiplying \(\frac{\pi}{6}\) by \(180^\circ\) gives \(30^\circ\). The \(\pi\) cancels out.
Step 2
Why this answer is correct
The correct answer is C. \(30^\circ\). Multiplying \(\frac{\pi}{6}\) by \(180^\circ\) gives \(30^\circ\). The \(\pi\) cancels out.
Step 3
Exam Tip
\(\frac{\pi}{6}\) को \(180^\circ\) से गुणा करने पर \(30^\circ\) मिलता है। \(\pi\) कट जाता है।
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\(\frac{\pi}{2}\) रेडियन कितने डिग्री के बराबर है?
\(\frac{\pi}{2}\) radians is equal to how many degrees?
#trigonometry
#angles
#right-angle
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A \(45^\circ\)
B \(60^\circ\)
C \(120^\circ\)
D \(90^\circ\)
Explanation opens after your attempt
Correct Answer
D. \(90^\circ\)
Step 1
Concept
\(\frac{\pi}{2}\) radians equals \(90^\circ\). It is the angle of one quarter revolution.
Step 2
Why this answer is correct
The correct answer is D. \(90^\circ\). \(\frac{\pi}{2}\) radians equals \(90^\circ\). It is the angle of one quarter revolution.
Step 3
Exam Tip
\(\frac{\pi}{2}\) रेडियन \(90^\circ\) के बराबर है। यह एक चौथाई चक्कर का कोण है।
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\(\frac{2\pi}{3}\) रेडियन कितने डिग्री के बराबर है?
\(\frac{2\pi}{3}\) radians is equal to how many degrees?
#trigonometry
#angles
#radians
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A \(120^\circ\)
B \(135^\circ\)
C \(150^\circ\)
D \(180^\circ\)
Explanation opens after your attempt
Correct Answer
A. \(120^\circ\)
Step 1
Concept
\(\frac{2\pi}{3} \times \frac{180^\circ}{\pi}=120^\circ\). Cancel \(\pi\) and multiply simply.
Step 2
Why this answer is correct
The correct answer is A. \(120^\circ\). \(\frac{2\pi}{3} \times \frac{180^\circ}{\pi}=120^\circ\). Cancel \(\pi\) and multiply simply.
Step 3
Exam Tip
\(\frac{2\pi}{3} \times \frac{180^\circ}{\pi}=120^\circ\) होता है। \(\pi\) हटाकर सरल गुणा करें।
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\(\frac{3\pi}{2}\) रेडियन कितने डिग्री के बराबर है?
\(\frac{3\pi}{2}\) radians is equal to how many degrees?
#trigonometry
#angles
#degree-measure
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A \(180^\circ\)
B \(270^\circ\)
C \(300^\circ\)
D \(360^\circ\)
Explanation opens after your attempt
Correct Answer
B. \(270^\circ\)
Step 1
Concept
\(\frac{3\pi}{2}\times\frac{180^\circ}{\pi}=270^\circ\). The numerator (3) makes the final value three times \(90^\circ\).
Step 2
Why this answer is correct
The correct answer is B. \(270^\circ\). \(\frac{3\pi}{2}\times\frac{180^\circ}{\pi}=270^\circ\). The numerator (3) makes the final value three times \(90^\circ\).
Step 3
Exam Tip
\(\frac{3\pi}{2}\times\frac{180^\circ}{\pi}=270^\circ\) होता है। ऊपर का (3) अंतिम मान को तीन गुना करता है।
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\(270^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(270^\circ\)?
#trigonometry
#angles
#conversion-practice
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A \(\pi\)
B \(\frac{5\pi}{4}\)
C \(\frac{3\pi}{2}\)
D \(2\pi\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{3\pi}{2}\)
Step 1
Concept
\(270^\circ=\frac{270\pi}{180}=\frac{3\pi}{2}\). You can also think of \(90^\circ\) as \(\frac{\pi}{2}\).
Step 2
Why this answer is correct
The correct answer is C. \(\frac{3\pi}{2}\). \(270^\circ=\frac{270\pi}{180}=\frac{3\pi}{2}\). You can also think of \(90^\circ\) as \(\frac{\pi}{2}\).
Step 3
Exam Tip
\(270^\circ=\frac{270\pi}{180}=\frac{3\pi}{2}\) होता है। \(90^\circ\) को \(\frac{\pi}{2}\) मानकर भी सोच सकते हैं।
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दो सह-अंतिम कोणों में अंतर किसका गुणज होता है?
The difference between two coterminal angles is a multiple of what?
#trigonometry
#angles
#coterminal
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A \(90^\circ\)
B \(180^\circ\)
C \(270^\circ\)
D \(360^\circ\)
Explanation opens after your attempt
Correct Answer
D. \(360^\circ\)
Step 1
Concept
The difference between coterminal angles is an integral multiple of \(360^\circ\). Use this rule when the terminal side is the same.
Step 2
Why this answer is correct
The correct answer is D. \(360^\circ\). The difference between coterminal angles is an integral multiple of \(360^\circ\). Use this rule when the terminal side is the same.
Step 3
Exam Tip
सह-अंतिम कोणों में अंतर \(360^\circ\) के पूर्णांक गुणज का होता है। अंतिम भुजा समान हो तो यह नियम लगाएं।
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\(30^\circ\) का एक धनात्मक सह-अंतिम कोण कौन सा है?
Which is a positive coterminal angle of \(30^\circ\)?
#trigonometry
#angles
#coterminal-angle
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A \(390^\circ\)
B \(300^\circ\)
C \(210^\circ\)
D \(150^\circ\)
Explanation opens after your attempt
Correct Answer
A. \(390^\circ\)
Step 1
Concept
\(30^\circ+360^\circ=390^\circ\). Add or subtract \(360^\circ\) to get a coterminal angle.
Step 2
Why this answer is correct
The correct answer is A. \(390^\circ\). \(30^\circ+360^\circ=390^\circ\). Add or subtract \(360^\circ\) to get a coterminal angle.
Step 3
Exam Tip
\(30^\circ+360^\circ=390^\circ\) होता है। सह-अंतिम कोण के लिए \(360^\circ\) जोड़ें या घटाएं।
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\(45^\circ\) का एक ऋणात्मक सह-अंतिम कोण कौन सा है?
Which is a negative coterminal angle of \(45^\circ\)?
#trigonometry
#angles
#negative-coterminal
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A \(225^\circ\)
B \(-315^\circ\)
C \(-45^\circ\)
D \(315^\circ\)
Explanation opens after your attempt
Correct Answer
B. \(-315^\circ\)
Step 1
Concept
\(45^\circ-360^\circ=-315^\circ\). Subtract \(360^\circ\) to get a negative coterminal angle.
Step 2
Why this answer is correct
The correct answer is B. \(-315^\circ\). \(45^\circ-360^\circ=-315^\circ\). Subtract \(360^\circ\) to get a negative coterminal angle.
Step 3
Exam Tip
\(45^\circ-360^\circ=-315^\circ\) होता है। ऋणात्मक सह-अंतिम कोण के लिए \(360^\circ\) घटाएं।
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\(400^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच सह-अंतिम कोण क्या है?
What is the coterminal angle of \(400^\circ\) between \(0^\circ\) and \(360^\circ\)?
#trigonometry
#angles
#principal-angle
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A \(20^\circ\)
B \(30^\circ\)
C \(40^\circ\)
D \(50^\circ\)
Explanation opens after your attempt
Correct Answer
C. \(40^\circ\)
Step 1
Concept
\(400^\circ-360^\circ=40^\circ\). Subtract \(360^\circ\) from a large angle to get the principal angle.
Step 2
Why this answer is correct
The correct answer is C. \(40^\circ\). \(400^\circ-360^\circ=40^\circ\). Subtract \(360^\circ\) from a large angle to get the principal angle.
Step 3
Exam Tip
\(400^\circ-360^\circ=40^\circ\) होता है। बड़े कोण को \(360^\circ\) से घटाकर मुख्य कोण पाएं।
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\(-30^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच सह-अंतिम कोण क्या है?
What is the coterminal angle of \(-30^\circ\) between \(0^\circ\) and \(360^\circ\)?
#trigonometry
#angles
#coterminal-principal
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A \(30^\circ\)
B \(150^\circ\)
C \(300^\circ\)
D \(330^\circ\)
Explanation opens after your attempt
Correct Answer
D. \(330^\circ\)
Step 1
Concept
\(-30^\circ+360^\circ=330^\circ\). Add \(360^\circ\) to a negative angle.
Step 2
Why this answer is correct
The correct answer is D. \(330^\circ\). \(-30^\circ+360^\circ=330^\circ\). Add \(360^\circ\) to a negative angle.
Step 3
Exam Tip
\(-30^\circ+360^\circ=330^\circ\) होता है। ऋणात्मक कोण में \(360^\circ\) जोड़ें।
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\(720^\circ\) कितने पूरे चक्करों के बराबर है?
\(720^\circ\) is equal to how many complete revolutions?
#trigonometry
#angles
#revolutions
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A (2)
B (3)
C (4)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(720^\circ \div 360^\circ=2\) complete revolutions. Divide by \(360^\circ\) to count revolutions.
Step 2
Why this answer is correct
The correct answer is A. (2). \(720^\circ \div 360^\circ=2\) complete revolutions. Divide by \(360^\circ\) to count revolutions.
Step 3
Exam Tip
\(720^\circ \div 360^\circ=2\) पूरे चक्कर होते हैं। चक्कर गिनने के लिए \(360^\circ\) से भाग दें।
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\(540^\circ\) में कितने आधे चक्कर होते हैं?
How many half revolutions are there in \(540^\circ\)?
#trigonometry
#angles
#half-turns
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A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
One half revolution is \(180^\circ\), and \(540^\circ\div180^\circ=3\). Divide by \(180^\circ\) for half revolutions.
Step 2
Why this answer is correct
The correct answer is B. (3). One half revolution is \(180^\circ\), and \(540^\circ\div180^\circ=3\). Divide by \(180^\circ\) for half revolutions.
Step 3
Exam Tip
एक आधा चक्कर \(180^\circ\) होता है और \(540^\circ\div180^\circ=3\) है। आधे चक्कर के लिए \(180^\circ\) से भाग दें।
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\(1^\circ\) कितने मिनट के बराबर होता है?
\(1^\circ\) is equal to how many minutes?
#trigonometry
#angles
#degree-minute
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A (30')
B (45')
C (60')
D (90')
Explanation opens after your attempt
Step 1
Concept
\(1^\circ=60'\). Remember the base (60) for degree and minute questions.
Step 2
Why this answer is correct
The correct answer is C. (60'). \(1^\circ=60'\). Remember the base (60) for degree and minute questions.
Step 3
Exam Tip
\(1^\circ=60'\) होता है। डिग्री और मिनट के सवालों में (60) का आधार याद रखें।
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(1') कितने सेकंड के बराबर होता है?
(1') is equal to how many seconds?
#trigonometry
#angles
#minute-second
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A (15'')
B (30'')
C (45'')
D (60'')
Explanation opens after your attempt
Step 1
Concept
(1'=60''). Multiply by (60) to convert minutes into seconds.
Step 2
Why this answer is correct
The correct answer is D. (60''). (1'=60''). Multiply by (60) to convert minutes into seconds.
Step 3
Exam Tip
(1'=60'') होता है। मिनट से सेकंड में बदलते समय (60) से गुणा करें।
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(30') कितने डिग्री के बराबर होता है?
(30') is equal to how many degrees?
#trigonometry
#angles
#minutes-to-degrees
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A \(\frac{1}{2}^\circ\)
B \(1^\circ\)
C \(2^\circ\)
D \(\frac{1}{3}^\circ\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{1}{2}^\circ\)
Step 1
Concept
Since \(60'=1^\circ\), \(30'=\frac{1}{2}^\circ\). Divide minutes by (60) to convert into degrees.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{1}{2}^\circ\). Since \(60'=1^\circ\), \(30'=\frac{1}{2}^\circ\). Divide minutes by (60) to convert into degrees.
Step 3
Exam Tip
\(60'=1^\circ\) इसलिए \(30'=\frac{1}{2}^\circ\) होता है। मिनट को डिग्री में बदलने के लिए (60) से भाग दें।
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(90'') कितने मिनट के बराबर होता है?
(90'') is equal to how many minutes?
#trigonometry
#angles
#seconds-minutes
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A (1')
B \(\frac{3}{2}'\)
C (2')
D \(\frac{1}{2}'\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{3}{2}'\)
Step 1
Concept
\(90''\div60=\frac{3}{2}'\). Divide by (60) to convert seconds into minutes.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{3}{2}'\). \(90''\div60=\frac{3}{2}'\). Divide by (60) to convert seconds into minutes.
Step 3
Exam Tip
\(90''\div60=\frac{3}{2}'\) होता है। सेकंड से मिनट में बदलते समय (60) से भाग दें।
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\(15^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(15^\circ\)?
#trigonometry
#angles
#small-angle
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A \(\frac{\pi}{6}\)
B \(\frac{\pi}{12}\)
C \(\frac{\pi}{10}\)
D \(\frac{\pi}{8}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{\pi}{12}\)
Step 1
Concept
\(15^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{12}\). Simplify (15) and (180) by (15).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{\pi}{12}\). \(15^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{12}\). Simplify (15) and (180) by (15).
Step 3
Exam Tip
\(15^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{12}\) होता है। (15) और (180) को (15) से सरल करें।
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\(135^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(135^\circ\)?
#trigonometry
#angles
#obtuse-angle
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A \(\frac{2\pi}{3}\)
B \(\frac{3\pi}{5}\)
C \(\frac{3\pi}{4}\)
D \(\frac{5\pi}{6}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{3\pi}{4}\)
Step 1
Concept
\(135^\circ \times \frac{\pi}{180^\circ}=\frac{3\pi}{4}\). Reduce (135:180) to (3:4).
Step 2
Why this answer is correct
The correct answer is C. \(\frac{3\pi}{4}\). \(135^\circ \times \frac{\pi}{180^\circ}=\frac{3\pi}{4}\). Reduce (135:180) to (3:4).
Step 3
Exam Tip
\(135^\circ \times \frac{\pi}{180^\circ}=\frac{3\pi}{4}\) होता है। (135:180) को (3:4) करें।
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\(225^\circ\) का रेडियन माप क्या है?
What is the radian measure of \(225^\circ\)?
#trigonometry
#angles
#degree-to-radian-practice
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A \(\frac{5\pi}{4}\)
B \(\frac{4\pi}{5}\)
C \(\frac{3\pi}{2}\)
D \(\frac{7\pi}{6}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{5\pi}{4}\)
Step 1
Concept
\(225^\circ \times \frac{\pi}{180^\circ}=\frac{5\pi}{4}\). Remembering \(45^\circ=\frac{\pi}{4}\) also helps.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{5\pi}{4}\). \(225^\circ \times \frac{\pi}{180^\circ}=\frac{5\pi}{4}\). Remembering \(45^\circ=\frac{\pi}{4}\) also helps.
Step 3
Exam Tip
\(225^\circ \times \frac{\pi}{180^\circ}=\frac{5\pi}{4}\) होता है। \(45^\circ=\frac{\pi}{4}\) याद रखने से भी उत्तर मिलता है।
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\(\frac{5\pi}{6}\) रेडियन कितने डिग्री के बराबर है?
\(\frac{5\pi}{6}\) radians is equal to how many degrees?
#trigonometry
#angles
#radian-to-degree-practice
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A \(120^\circ\)
B \(150^\circ\)
C \(180^\circ\)
D \(210^\circ\)
Explanation opens after your attempt
Correct Answer
B. \(150^\circ\)
Step 1
Concept
\(\frac{5\pi}{6}\times\frac{180^\circ}{\pi}=150^\circ\). Cancel \(\pi\) first and then multiply.
Step 2
Why this answer is correct
The correct answer is B. \(150^\circ\). \(\frac{5\pi}{6}\times\frac{180^\circ}{\pi}=150^\circ\). Cancel \(\pi\) first and then multiply.
Step 3
Exam Tip
\(\frac{5\pi}{6}\times\frac{180^\circ}{\pi}=150^\circ\) होता है। पहले \(\pi\) को काटें फिर गुणा करें।
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\(\frac{7\pi}{6}\) रेडियन कितने डिग्री के बराबर है?
\(\frac{7\pi}{6}\) radians is equal to how many degrees?
#trigonometry
#angles
#radian-degree-conversion
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A \(180^\circ\)
B \(200^\circ\)
C \(210^\circ\)
D \(240^\circ\)
Explanation opens after your attempt
Correct Answer
C. \(210^\circ\)
Step 1
Concept
\(\frac{7\pi}{6}\times\frac{180^\circ}{\pi}=210^\circ\). Use \(\frac{\pi}{6}=30^\circ\).
Step 2
Why this answer is correct
The correct answer is C. \(210^\circ\). \(\frac{7\pi}{6}\times\frac{180^\circ}{\pi}=210^\circ\). Use \(\frac{\pi}{6}=30^\circ\).
Step 3
Exam Tip
\(\frac{7\pi}{6}\times\frac{180^\circ}{\pi}=210^\circ\) होता है। \(\frac{\pi}{6}=30^\circ\) का उपयोग करें।
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\(\frac{4\pi}{3}\) रेडियन कितने डिग्री के बराबर है?
\(\frac{4\pi}{3}\) radians is equal to how many degrees?
#trigonometry
#angles
#radian-practice
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A \(120^\circ\)
B \(210^\circ\)
C \(300^\circ\)
D \(240^\circ\)
Explanation opens after your attempt
Correct Answer
D. \(240^\circ\)
Step 1
Concept
\(\frac{4\pi}{3}\times\frac{180^\circ}{\pi}=240^\circ\). Since \(\frac{\pi}{3}=60^\circ\), four times it is \(240^\circ\).
Step 2
Why this answer is correct
The correct answer is D. \(240^\circ\). \(\frac{4\pi}{3}\times\frac{180^\circ}{\pi}=240^\circ\). Since \(\frac{\pi}{3}=60^\circ\), four times it is \(240^\circ\).
Step 3
Exam Tip
\(\frac{4\pi}{3}\times\frac{180^\circ}{\pi}=240^\circ\) होता है। \(\frac{\pi}{3}=60^\circ\) इसलिए चार गुना \(240^\circ\) है।
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\(210^\circ\) किस चतुर्थांश में स्थित है?
In which quadrant does \(210^\circ\) lie?
#trigonometry
#angles
#quadrants
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A पहला चतुर्थांश / First quadrant
B दूसरा चतुर्थांश / Second quadrant
C तीसरा चतुर्थांश / Third quadrant
D चौथा चतुर्थांश / Fourth quadrant
Explanation opens after your attempt
Correct Answer
C. तीसरा चतुर्थांश / Third quadrant
Step 1
Concept
\(210^\circ\) lies between \(180^\circ\) and \(270^\circ\), so it is in the third quadrant. Remember the boundary angles.
Step 2
Why this answer is correct
The correct answer is C. तीसरा चतुर्थांश / Third quadrant. \(210^\circ\) lies between \(180^\circ\) and \(270^\circ\), so it is in the third quadrant. Remember the boundary angles.
Step 3
Exam Tip
\(210^\circ\), \(180^\circ\) और \(270^\circ\) के बीच है इसलिए तीसरे चतुर्थांश में है। सीमा कोणों को याद रखें।
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\(315^\circ\) किस चतुर्थांश में स्थित है?
In which quadrant does \(315^\circ\) lie?
#trigonometry
#angles
#fourth-quadrant
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A पहला चतुर्थांश / First quadrant
B दूसरा चतुर्थांश / Second quadrant
C तीसरा चतुर्थांश / Third quadrant
D चौथा चतुर्थांश / Fourth quadrant
Explanation opens after your attempt
Correct Answer
D. चौथा चतुर्थांश / Fourth quadrant
Step 1
Concept
\(315^\circ\) lies between \(270^\circ\) and \(360^\circ\), so it is in the fourth quadrant. Decide the position using boundaries.
Step 2
Why this answer is correct
The correct answer is D. चौथा चतुर्थांश / Fourth quadrant. \(315^\circ\) lies between \(270^\circ\) and \(360^\circ\), so it is in the fourth quadrant. Decide the position using boundaries.
Step 3
Exam Tip
\(315^\circ\), \(270^\circ\) और \(360^\circ\) के बीच है इसलिए चौथे चतुर्थांश में है। कोण की स्थिति सीमा से तय करें।
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\(100^\circ\) किस चतुर्थांश में स्थित है?
In which quadrant does \(100^\circ\) lie?
#trigonometry
#angles
#second-quadrant
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A पहला चतुर्थांश / First quadrant
B दूसरा चतुर्थांश / Second quadrant
C तीसरा चतुर्थांश / Third quadrant
D चौथा चतुर्थांश / Fourth quadrant
Explanation opens after your attempt
Correct Answer
B. दूसरा चतुर्थांश / Second quadrant
Step 1
Concept
\(100^\circ\) lies between \(90^\circ\) and \(180^\circ\), so it is in the second quadrant. After \(90^\circ\) and before \(180^\circ\) is the second quadrant.
Step 2
Why this answer is correct
The correct answer is B. दूसरा चतुर्थांश / Second quadrant. \(100^\circ\) lies between \(90^\circ\) and \(180^\circ\), so it is in the second quadrant. After \(90^\circ\) and before \(180^\circ\) is the second quadrant.
Step 3
Exam Tip
\(100^\circ\), \(90^\circ\) और \(180^\circ\) के बीच है इसलिए दूसरे चतुर्थांश में है। \(90^\circ\) से आगे और \(180^\circ\) से पहले दूसरा चतुर्थांश होता है।
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\(70^\circ\) किस चतुर्थांश में स्थित है?
In which quadrant does \(70^\circ\) lie?
#trigonometry
#angles
#first-quadrant
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A पहला चतुर्थांश / First quadrant
B दूसरा चतुर्थांश / Second quadrant
C तीसरा चतुर्थांश / Third quadrant
D चौथा चतुर्थांश / Fourth quadrant
Explanation opens after your attempt
Correct Answer
A. पहला चतुर्थांश / First quadrant
Step 1
Concept
\(70^\circ\) lies between \(0^\circ\) and \(90^\circ\), so it is in the first quadrant. Small positive angles lie in the first quadrant.
Step 2
Why this answer is correct
The correct answer is A. पहला चतुर्थांश / First quadrant. \(70^\circ\) lies between \(0^\circ\) and \(90^\circ\), so it is in the first quadrant. Small positive angles lie in the first quadrant.
Step 3
Exam Tip
\(70^\circ\), \(0^\circ\) और \(90^\circ\) के बीच है इसलिए पहले चतुर्थांश में है। छोटे धनात्मक कोण पहले चतुर्थांश में आते हैं।
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\(-120^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच सह-अंतिम कोण कौन सा है?
Which coterminal angle of \(-120^\circ\) lies between \(0^\circ\) and \(360^\circ\)?
#trigonometry
#angles
#negative-angle-conversion
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A \(120^\circ\)
B \(240^\circ\)
C \(300^\circ\)
D \(60^\circ\)
Explanation opens after your attempt
Correct Answer
B. \(240^\circ\)
Step 1
Concept
\(-120^\circ+360^\circ=240^\circ\). Add \(360^\circ\) to bring a negative angle into the principal range.
Step 2
Why this answer is correct
The correct answer is B. \(240^\circ\). \(-120^\circ+360^\circ=240^\circ\). Add \(360^\circ\) to bring a negative angle into the principal range.
Step 3
Exam Tip
\(-120^\circ+360^\circ=240^\circ\) होता है। ऋणात्मक कोण को मुख्य दायरे में लाने के लिए \(360^\circ\) जोड़ें।
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\(765^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच सह-अंतिम कोण क्या है?
What is the coterminal angle of \(765^\circ\) between \(0^\circ\) and \(360^\circ\)?
#trigonometry
#angles
#coterminal-large-angle
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A \(35^\circ\)
B \(45^\circ\)
C \(55^\circ\)
D \(65^\circ\)
Explanation opens after your attempt
Correct Answer
B. \(45^\circ\)
Step 1
Concept
\(765^\circ-720^\circ=45^\circ\). Subtract multiples of \(360^\circ\) from a large angle.
Step 2
Why this answer is correct
The correct answer is B. \(45^\circ\). \(765^\circ-720^\circ=45^\circ\). Subtract multiples of \(360^\circ\) from a large angle.
Step 3
Exam Tip
\(765^\circ-720^\circ=45^\circ\) होता है। बड़े कोण से \(360^\circ\) के गुणज घटाएं।
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\(-450^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच सह-अंतिम कोण क्या है?
What is the coterminal angle of \(-450^\circ\) between \(0^\circ\) and \(360^\circ\)?
#trigonometry
#angles
#coterminal-negative
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A \(90^\circ\)
B \(180^\circ\)
C \(270^\circ\)
D \(360^\circ\)
Explanation opens after your attempt
Correct Answer
C. \(270^\circ\)
Step 1
Concept
\(-450^\circ+720^\circ=270^\circ\). Add \(360^\circ\) more than once if needed.
Step 2
Why this answer is correct
The correct answer is C. \(270^\circ\). \(-450^\circ+720^\circ=270^\circ\). Add \(360^\circ\) more than once if needed.
Step 3
Exam Tip
\(-450^\circ+720^\circ=270^\circ\) होता है। जरूरत हो तो \(360^\circ\) एक से अधिक बार जोड़ें।
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यदि कोण \(\frac{\pi}{4}\) रेडियन है तो उसका डिग्री माप क्या होगा?
If an angle is \(\frac{\pi}{4}\) radians then what is its degree measure?
#trigonometry
#angles
#pi-by-four
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A \(30^\circ\)
B \(45^\circ\)
C \(60^\circ\)
D \(90^\circ\)
Explanation opens after your attempt
Correct Answer
B. \(45^\circ\)
Step 1
Concept
\(\frac{\pi}{4}\times\frac{180^\circ}{\pi}=45^\circ\). After canceling \(\pi\), calculate \(180\div4\).
Step 2
Why this answer is correct
The correct answer is B. \(45^\circ\). \(\frac{\pi}{4}\times\frac{180^\circ}{\pi}=45^\circ\). After canceling \(\pi\), calculate \(180\div4\).
Step 3
Exam Tip
\(\frac{\pi}{4}\times\frac{180^\circ}{\pi}=45^\circ\) होता है। \(\pi\) कटाने के बाद \(180\div4\) करें।
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यदि कोण \(300^\circ\) है तो उसका रेडियन माप क्या होगा?
If an angle is \(300^\circ\) then what is its radian measure?
#trigonometry
#angles
#degree-to-radian-300
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A \(\frac{4\pi}{3}\)
B \(\frac{5\pi}{3}\)
C \(\frac{3\pi}{2}\)
D \(\frac{7\pi}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{5\pi}{3}\)
Step 1
Concept
\(300^\circ\times\frac{\pi}{180^\circ}=\frac{5\pi}{3}\). Reduce (300:180) to (5:3).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{5\pi}{3}\). \(300^\circ\times\frac{\pi}{180^\circ}=\frac{5\pi}{3}\). Reduce (300:180) to (5:3).
Step 3
Exam Tip
\(300^\circ\times\frac{\pi}{180^\circ}=\frac{5\pi}{3}\) होता है। (300:180) को (5:3) में घटाएं।
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कौन सा कोण शून्य कोण कहलाता है?
Which angle is called a zero angle?
#trigonometry
#angles
#zero-angle
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A जिसमें कोई घूर्णन न हो / The angle with no rotation
B जिसमें आधा चक्कर हो / The angle with half revolution
C जिसमें पूरा चक्कर हो / The angle with complete revolution
D जिसमें ऋणात्मक घूर्णन हो / The angle with negative rotation
Explanation opens after your attempt
Correct Answer
A. जिसमें कोई घूर्णन न हो / The angle with no rotation
Step 1
Concept
An angle with no rotation is called a zero angle. In definition questions identify the key word.
Step 2
Why this answer is correct
The correct answer is A. जिसमें कोई घूर्णन न हो / The angle with no rotation. An angle with no rotation is called a zero angle. In definition questions identify the key word.
Step 3
Exam Tip
जिस कोण में घूर्णन नहीं होता उसे शून्य कोण कहते हैं। परिभाषा आधारित प्रश्नों में मुख्य शब्द पहचानें।
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कौन सा कोण सीधा कोण कहलाता है?
Which angle is called a straight angle?
#trigonometry
#angles
#straight-angle
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A \(90^\circ\)
B \(180^\circ\)
C \(270^\circ\)
D \(360^\circ\)
Explanation opens after your attempt
Correct Answer
B. \(180^\circ\)
Step 1
Concept
A straight angle is \(180^\circ\). When a straight line is formed, take the angle as \(180^\circ\).
Step 2
Why this answer is correct
The correct answer is B. \(180^\circ\). A straight angle is \(180^\circ\). When a straight line is formed, take the angle as \(180^\circ\).
Step 3
Exam Tip
सीधा कोण \(180^\circ\) का होता है। रेखा बनने पर कोण \(180^\circ\) मानें।
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कौन सा कोण समकोण कहलाता है?
Which angle is called a right angle?
#trigonometry
#angles
#right-angle-definition
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A \(45^\circ\)
B \(60^\circ\)
C \(90^\circ\)
D \(120^\circ\)
Explanation opens after your attempt
Correct Answer
C. \(90^\circ\)
Step 1
Concept
A right angle is \(90^\circ\). The angle between perpendicular lines is \(90^\circ\).
Step 2
Why this answer is correct
The correct answer is C. \(90^\circ\). A right angle is \(90^\circ\). The angle between perpendicular lines is \(90^\circ\).
Step 3
Exam Tip
समकोण \(90^\circ\) का होता है। लंबवत रेखाओं के बीच का कोण \(90^\circ\) होता है।
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कौन सा कोण पूर्ण कोण कहलाता है?
Which angle is called a complete angle?
#trigonometry
#angles
#complete-angle
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A \(90^\circ\)
B \(180^\circ\)
C \(270^\circ\)
D \(360^\circ\)
Explanation opens after your attempt
Correct Answer
D. \(360^\circ\)
Step 1
Concept
A complete angle is \(360^\circ\). One full revolution is always \(360^\circ\).
Step 2
Why this answer is correct
The correct answer is D. \(360^\circ\). A complete angle is \(360^\circ\). One full revolution is always \(360^\circ\).
Step 3
Exam Tip
पूर्ण कोण \(360^\circ\) का होता है। एक पूरा चक्कर हमेशा \(360^\circ\) होता है।
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