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 111-120 of 346 questions.
If \(\sin x=0\), what is the value of \(\cos x\) at (x=0)?
C. (1)
(x=0) पर \(\cos 0=1\) होता है। मानक कोणों के मान याद रखना आसान प्रश्नों में मदद करता है। / At (x=0), \(\cos 0=1\). Remembering standard angle values helps in easy questions.
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What is the value of \(\sin 0\)?
B. (0)
\(\sin 0=0\) एक मानक मान है। परीक्षा में (0), \(\frac{\pi}{2}\) और \(\pi\) के मान जरूर याद रखें। / \(\sin 0=0\) is a standard value. In exams, remember the values for (0), \(\frac{\pi}{2}\), and \(\pi\).
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What is the value of \(\tan 0\)?
C. (0)
\(\tan 0=\frac{\sin 0}{\cos 0}=\frac{0}{1}=0\)। अनुपात पहचान से मान आसानी से निकलेगा। / \(\tan 0=\frac{\sin 0}{\cos 0}=\frac{0}{1}=0\). The quotient identity gives the value easily.
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What is the value of \(\sin \frac{\pi}{2}\)?
B. (1)
\(\frac{\pi}{2}\) पर \(\sin x\) का मान (1) होता है। यूनिट सर्कल से यह मान जल्दी याद होता है। / At \(\frac{\pi}{2}\), the value of \(\sin x\) is (1). The unit circle helps remember this value quickly.
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What is the value of \(\cos \frac{\pi}{2}\)?
C. (0)
\(\frac{\pi}{2}\) पर \(\cos x\) का मान (0) है। मानक कोणों की तालिका से गलती कम होती है। / At \(\frac{\pi}{2}\), the value of \(\cos x\) is (0). A standard angle table reduces mistakes.
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What is (\sin\(\pi-x\)) equal to?
C. \(\sin x\)
\(\pi-x\) दूसरे चतुर्थांश में होता है और वहाँ \(\sin x\) धनात्मक रहता है। इसलिए (\sin\(\pi-x\)=\sin x)। / \(\pi-x\) lies in the second quadrant and \(\sin x\) remains positive there. Hence (\sin\(\pi-x\)=\sin x).
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What is (\cos\(\pi-x\)) equal to?
B. \(-\cos x\)
दूसरे चतुर्थांश में \(\cos x\) ऋणात्मक होता है। इसलिए (\cos\(\pi-x\)=-\cos x)। / In the second quadrant, \(\cos x\) is negative. Therefore, (\cos\(\pi-x\)=-\cos x).
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What is (\tan\(\pi+x\)) equal to?
C. \(\tan x\)
\(\tan x\) का काल \(\pi\) है, इसलिए (\tan\(\pi+x\)=\tan x)। काल का उपयोग करके उत्तर जल्दी मिलता है। / The period of \(\tan x\) is \(\pi\), so (\tan\(\pi+x\)=\tan x). Using period gives the answer quickly.
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B. \(-\sin x\)
\(\sin x\) विषम फलन है, इसलिए (\sin(-x)=-\sin x)। सम-विषम गुण जल्दी पहचानें। / \(\sin x\) is an odd function, so (\sin(-x)=-\sin x). Identify even-odd properties quickly.
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C. \(\cos x\)
\(\cos x\) सम फलन है, इसलिए (\cos(-x)=\cos x)। ऋण कोण वाले प्रश्नों में सम-विषम गुण लगाएँ। / \(\cos x\) is an even function, so (\cos(-x)=\cos x). Use even-odd properties for negative angle questions.
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