Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 81-90 of 346 questions.
What type of value does \(\sin^2 \theta+\cos^2 \theta\) have?
D. स्थिरConstant
\(\sin^2 \theta+\cos^2 \theta=1\) होता है इसलिए यह स्थिर मान है। मूल सर्वसमिका सीधे पहचानें। / \(\sin^2 \theta+\cos^2 \theta=1\), so it is a constant value. Identify the basic identity directly.
Login to save your score, XP, coins and progress.
If \(\sin \theta=0\), what is the value of \(\cos^2 \theta\)?
A. (1)
\(\sin^2 \theta+\cos^2 \theta=1\) में \(\sin \theta=0\) रखने पर \(\cos^2 \theta=1\) मिलता है। ऐसे प्रश्नों में पहचान सूत्र लगाएँ। / Putting \(\sin \theta=0\) in \(\sin^2 \theta+\cos^2 \theta=1\) gives \(\cos^2 \theta=1\). Use the identity in such questions.
Login to save your score, XP, coins and progress.
If \(\cos \theta=0\), what is the value of \(\sin^2 \theta\)?
B. (1)
\(\sin^2 \theta+\cos^2 \theta=1\) में \(\cos \theta=0\) रखने पर \(\sin^2 \theta=1\) आता है। ज्ञात मान को सूत्र में रखें। / Putting \(\cos \theta=0\) in \(\sin^2 \theta+\cos^2 \theta=1\) gives \(\sin^2 \theta=1\). Substitute the known value in the formula.
Login to save your score, XP, coins and progress.
What is \(\frac{1}{1+\tan^2 \theta}\) equal to?
C. \(\cos^2 \theta\)
\(\1+\tan^2 \theta=\sec^2 \theta\) और \(\frac{1}{\sec^2 \theta}=\cos^2 \theta\) होता है। व्युत्क्रम लेते समय सावधानी रखें। / \(\1+\tan^2 \theta=\sec^2 \theta\) and \(\frac{1}{\sec^2 \theta}=\cos^2 \theta\). Be careful while taking reciprocals.
Login to save your score, XP, coins and progress.
What is \(\frac{1}{1+\cot^2 \theta}\) equal to?
D. \(\sin^2 \theta\)
\(\1+\cot^2 \theta=\cosec^2 \theta\) और \(\frac{1}{\cosec^2 \theta}=\sin^2 \theta\) होता है। पहचान सूत्र से भिन्न सरल करें। / \(\1+\cot^2 \theta=\cosec^2 \theta\) and \(\frac{1}{\cosec^2 \theta}=\sin^2 \theta\). Simplify fractions using identities.
Login to save your score, XP, coins and progress.
What is \(\sec^2 \theta-1\) equal to?
A. \(\tan^2 \theta\)
\(\sec^2 \theta=1+\tan^2 \theta\) से \(\sec^2 \theta-1=\tan^2 \theta\) मिलता है। सूत्र को सरल रूप में बदलें। / From \(\sec^2 \theta=1+\tan^2 \theta\), we get \(\sec^2 \theta-1=\tan^2 \theta\). Rearrange the formula into a simple form.
Login to save your score, XP, coins and progress.
What is \(\cosec^2 \theta-1\) equal to?
B. \(\cot^2 \theta\)
\(\cosec^2 \theta=1+\cot^2 \theta\) से \(\cosec^2 \theta-1=\cot^2 \theta\) होता है। समान पहचान सूत्रों की जोड़ी बनाकर अभ्यास करें। / From \(\cosec^2 \theta=1+\cot^2 \theta\), \(\cosec^2 \theta-1=\cot^2 \theta\). Practice similar identities in pairs.
Login to save your score, XP, coins and progress.
What is \(\frac{\sin \theta}{\cosec \theta}\) equal to?
C. \(\sin^2 \theta\)
\(\cosec \theta=\frac{1}{\sin \theta}\) इसलिए \(\frac{\sin \theta}{\cosec \theta}=\sin^2 \theta\) है। व्युत्क्रम संबंध को भिन्न में बदलें। / Since \(\cosec \theta=\frac{1}{\sin \theta}\), \(\frac{\sin \theta}{\cosec \theta}=\sin^2 \theta\). Convert reciprocal relations into fractions.
Login to save your score, XP, coins and progress.
What is \(\frac{\cos \theta}{\sec \theta}\) equal to?
D. \(\cos^2 \theta\)
\(\sec \theta=\frac{1}{\cos \theta}\) इसलिए \(\frac{\cos \theta}{\sec \theta}=\cos^2 \theta\) होता है। व्युत्क्रम लिखने से सरलीकरण आसान होता है। / Since \(\sec \theta=\frac{1}{\cos \theta}\), \(\frac{\cos \theta}{\sec \theta}=\cos^2 \theta\). Writing the reciprocal makes simplification easy.
Login to save your score, XP, coins and progress.
What is the value of \(\sin \theta \cdot \cosec \theta\)?
A. (1)
\(\sin \theta\) और \(\cosec \theta\) परस्पर व्युत्क्रम हैं इसलिए उनका गुणनफल (1) होता है। व्युत्क्रम जोड़ों को याद रखें। / \(\sin \theta\) and \(\cosec \theta\) are reciprocals, so their product is (1). Remember reciprocal pairs.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.