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 11-20 of 346 questions.
What is the fundamental period of \(\sin \theta\)?
B. \(2\pi\)
\(\sin \theta\) का मूल काल \(2\pi\) होता है। काल संबंधी प्रश्नों में फलन का नाम पहले पहचानें। / The fundamental period of \(\sin \theta\) is \(2\pi\). In period questions, identify the function first.
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What is the fundamental period of \(\cos \theta\)?
D. \(2\pi\)
\(\cos \theta\) का मूल काल \(2\pi\) होता है। \(\sin \theta\) और \(\cos \theta\) का काल समान है। / The fundamental period of \(\cos \theta\) is \(2\pi\). \(\sin \theta\) and \(\cos \theta\) have the same period.
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What is the fundamental period of \(\tan \theta\)?
C. \(\pi\)
\(\tan \theta\) का मूल काल \(\pi\) होता है। \(\tan \theta\) का काल \(\sin \theta\) से अलग है। / The fundamental period of \(\tan \theta\) is \(\pi\). The period of \(\tan \theta\) differs from that of \(\sin \theta\).
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What is the fundamental period of \(\cot \theta\)?
A. \(\pi\)
\(\cot \theta\) का मूल काल \(\pi\) होता है। \(\tan \theta\) और \(\cot \theta\) का काल समान है। / The fundamental period of \(\cot \theta\) is \(\pi\). \(\tan \theta\) and \(\cot \theta\) have the same period.
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What is (\cosec\(-\theta\)) equal to?
B. \(-\cosec \theta\)
\(\cosec \theta\) विषम फलन है इसलिए (\cosec\(-\theta\)=-\cosec \theta)। यह \(\sin \theta\) के व्युत्क्रम जैसा व्यवहार करता है। / \(\cosec \theta\) is an odd function, so (\cosec\(-\theta\)=-\cosec \theta). It behaves like the reciprocal of \(\sin \theta\).
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What is the range of \(\sin \theta\)?
D. ([-1,1])
\(\sin \theta\) का मान हमेशा ([-1,1]) में रहता है। परिसर पूछे जाने पर अधिकतम और न्यूनतम मान देखें। / The value of \(\sin \theta\) always lies in ([-1,1]). For range questions, check the maximum and minimum values.
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Which is the range of \(\cos \theta\)?
A. ([-1,1])
\(\cos \theta\) का परिसर ([-1,1]) है। \(\sin \theta\) और \(\cos \theta\) का परिसर समान होता है। / The range of \(\cos \theta\) is ([-1,1]). \(\sin \theta\) and \(\cos \theta\) have the same range.
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What is the range of \(\tan \theta\)?
C. (\(-\infty,\infty\))
\(\tan \theta\) सभी वास्तविक मान ले सकता है। इसलिए इसका परिसर (\(-\infty,\infty\)) है। / \(\tan \theta\) can take all real values. Therefore its range is (\(-\infty,\infty\)).
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Which is the range of \(\sec \theta\)?
B. (\(-\infty,-1]\cup[1,\infty\))
\(\sec \theta=\frac{1}{\cos \theta}\) होने से इसके मान ([-1,1]) के अंदर नहीं आते। परिसर (\(-\infty,-1]\cup[1,\infty\)) होता है। / Since \(\sec \theta=\frac{1}{\cos \theta}\), its values do not lie inside ([-1,1]). Its range is (\(-\infty,-1]\cup[1,\infty\)).
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What is the range of \(\cosec \theta\)?
D. (\(-\infty,-1]\cup[1,\infty\))
\(\cosec \theta=\frac{1}{\sin \theta}\) होता है। इसका परिसर (\(-\infty,-1]\cup[1,\infty\)) है। / \(\cosec \theta=\frac{1}{\sin \theta}\). Its range is (\(-\infty,-1]\cup[1,\infty\)).
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