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 121-130 of 346 questions.
B. \(-\tan x\)
\(\tan x\) विषम फलन है, इसलिए (\tan(-x)=-\tan x)। इसे \(\frac{\sin x}{\cos x}\) से भी समझ सकते हैं। / \(\tan x\) is an odd function, so (\tan(-x)=-\tan x). This can also be understood from \(\frac{\sin x}{\cos x}\).
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What is the sign of \(\sin x\) in the first quadrant?
C. धनात्मकPositive
पहले चतुर्थांश में सभी त्रिकोणमितीय फलन धनात्मक होते हैं। चतुर्थांश संकेत तालिका याद रखें। / In the first quadrant, all trigonometric functions are positive. Remember the quadrant sign table.
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What is the sign of \(\cos x\) in the second quadrant?
B. ऋणात्मकNegative
दूसरे चतुर्थांश में केवल \(\sin x\) और \(\cosec x\) धनात्मक होते हैं। इसलिए \(\cos x\) ऋणात्मक होता है। / In the second quadrant, only \(\sin x\) and \(\cosec x\) are positive. Therefore, \(\cos x\) is negative.
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What is the sign of \(\tan x\) in the third quadrant?
C. धनात्मकPositive
तीसरे चतुर्थांश में \(\tan x\) और \(\cot x\) धनात्मक होते हैं। संकेत नियम से उत्तर सीधे मिलता है। / In the third quadrant, \(\tan x\) and \(\cot x\) are positive. The sign rule gives the answer directly.
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What is the sign of \(\sin x\) in the fourth quadrant?
B. ऋणात्मकNegative
चौथे चतुर्थांश में \(\cos x\) और \(\sec x\) धनात्मक होते हैं। इसलिए \(\sin x\) ऋणात्मक होता है। / In the fourth quadrant, \(\cos x\) and \(\sec x\) are positive. Hence \(\sin x\) is negative.
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What is (\sin\(2\pi+x\)) equal to?
A. \(\sin x\)
\(\sin x\) का काल \(2\pi\) है, इसलिए (\sin\(2\pi+x\)=\sin x)। काल वाली पहचान याद रखें। / The period of \(\sin x\) is \(2\pi\), so (\sin\(2\pi+x\)=\sin x). Remember periodic identities.
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What is (\cos\(2\pi+x\)) equal to?
C. \(\cos x\)
\(\cos x\) हर \(2\pi\) पर दोहरता है। इसलिए (\cos\(2\pi+x\)=\cos x)। / \(\cos x\) repeats after every \(2\pi\). Therefore, (\cos\(2\pi+x\)=\cos x).
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What is (\sin\(\frac{\pi}{2}-x\)) equal to?
C. \(\cos x\)
पूरक कोण पहचान से (\sin\(\frac{\pi}{2}-x\)=\cos x) होता है। \(\frac{\pi}{2}\) के साथ फलन बदलता है। / By the complementary angle identity, (\sin\(\frac{\pi}{2}-x\)=\cos x). With \(\frac{\pi}{2}\), the function changes.
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What is (\cos\(\frac{\pi}{2}-x\)) equal to?
D. \(\sin x\)
पूरक कोण पहचान से (\cos\(\frac{\pi}{2}-x\)=\sin x) होता है। ऐसे प्रश्नों में \(\sin x\) और \(\cos x\) आपस में बदलते हैं। / By the complementary angle identity, (\cos\(\frac{\pi}{2}-x\)=\sin x). In such questions, \(\sin x\) and \(\cos x\) interchange.
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What is (\tan\(\frac{\pi}{2}-x\)) equal to?
B. \(\cot x\)
\(\frac{\pi}{2}\) के पूरक कोण में \(\tan x\) बदलकर \(\cot x\) हो जाता है। पूरक पहचान याद रखें। / For a complementary angle with \(\frac{\pi}{2}\), \(\tan x\) changes to \(\cot x\). Remember cofunction identities.
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