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 51-60 of 350 questions.
What is the sign of \(\sin \theta\) in the first quadrant?
A. धनात्मकPositive
पहले चतुर्थांश में सभी त्रिकोणमितीय फलन धनात्मक होते हैं। परीक्षा में चतुर्थांश के चिह्न याद रखें। / In the first quadrant, all trigonometric functions are positive. Remember quadrant signs for exams.
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Which function is positive in the second quadrant?
B. \(\sin \theta\)
दूसरे चतुर्थांश में \(\sin \theta\) और \(\cosec \theta\) धनात्मक होते हैं। चिह्न नियम को याद रखने से ऐसे प्रश्न जल्दी हल होते हैं। / In the second quadrant, \(\sin \theta\) and \(\cosec \theta\) are positive. Knowing sign rules helps solve such questions quickly.
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What is the sign of \(\tan \theta\) in the third quadrant?
C. धनात्मकPositive
तीसरे चतुर्थांश में \(\tan \theta\) और \(\cot \theta\) धनात्मक होते हैं। चतुर्थांश के अनुसार चिह्न बदलता है। / In the third quadrant, \(\tan \theta\) and \(\cot \theta\) are positive. The sign changes according to the quadrant.
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Which function is positive in the fourth quadrant?
D. \(\cos \theta\)
चौथे चतुर्थांश में \(\cos \theta\) और \(\sec \theta\) धनात्मक होते हैं। संकेत नियम को छोटी तालिका से याद करें। / In the fourth quadrant, \(\cos \theta\) and \(\sec \theta\) are positive. Remember sign rules using a small table.
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What is \(\sin\left(\frac{\pi}{2}+\theta\right)\) equal to?
A. \(\cos \theta\)
\(\frac{\pi}{2}\) के साथ \(\sin \theta\) सह-फलन \(\cos \theta\) में बदलता है। दूसरे चतुर्थांश में चिह्न धनात्मक रहता है। / With \(\frac{\pi}{2}\), \(\sin \theta\) changes to its cofunction \(\cos \theta\). The sign remains positive in the second quadrant.
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What is \(\cos\left(\frac{\pi}{2}+\theta\right)\) equal to?
B. -\(\sin \theta\)
\(\cos\left(\frac{\pi}{2}+\theta\right)=-\sin \theta\) होता है। \(\frac{\pi}{2}\) पर फलन बदलता है और चिह्न चतुर्थांश से तय होता है। / \(\cos\left(\frac{\pi}{2}+\theta\right)=-\sin \theta\). At \(\frac{\pi}{2}\), the function changes and the sign is decided by the quadrant.
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What is \(\tan\left(\frac{\pi}{2}+\theta\right)\) equal to?
C. -\(\cot \theta\)
\(\tan \theta\) का सह-फलन \(\cot \theta\) है और दूसरे चतुर्थांश में चिह्न ऋणात्मक होता है। इसलिए उत्तर \(-\cot \theta\) है। / The cofunction of \(\tan \theta\) is \(\cot \theta\), and the sign is negative in the second quadrant. Therefore the answer is \(-\cot \theta\).
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What is \(\cot\left(\frac{\pi}{2}+\theta\right)\) equal to?
D. -\(\tan \theta\)
\(\cot \theta\) का सह-फलन \(\tan \theta\) है और दूसरे चतुर्थांश में चिह्न ऋणात्मक होता है। ऐसे प्रश्नों में पहले सह-फलन पहचानें। / The cofunction of \(\cot \theta\) is \(\tan \theta\), and the sign is negative in the second quadrant. In such questions, first identify the cofunction.
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What is \(\sec\left(\frac{\pi}{2}+\theta\right)\) equal to?
A. -\(\cosec \theta\)
\(\sec \theta\) का सह-फलन \(\cosec \theta\) है और दूसरे चतुर्थांश में \(\sec \theta\) ऋणात्मक होता है। इसलिए मान \(-\cosec \theta\) है। / The cofunction of \(\sec \theta\) is \(\cosec \theta\), and \(\sec \theta\) is negative in the second quadrant. Hence the value is \(-\cosec \theta\).
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What is \(\cosec\left(\frac{\pi}{2}+\theta\right)\) equal to?
B. \(\sec \theta\)
\(\cosec \theta\) का सह-फलन \(\sec \theta\) है और दूसरे चतुर्थांश में चिह्न धनात्मक रहता है। सह-फलन जोड़ों को याद रखें। / The cofunction of \(\cosec \theta\) is \(\sec \theta\), and the sign remains positive in the second quadrant. Remember cofunction pairs.
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