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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If cosec⁡θ=p+qp−q\operatorname{cosec} \theta=\frac{p+q}{p-q} where p>q>0p>q>0, then ∣cot⁡(π4+θ2)∣\left|\cot \left(\frac{\pi}{4}+\frac{\theta}{2}\right)\right| is equal to:
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Correct option: A
pq\sqrt{\frac{p}{q}}
The correct answer is A (pq\sqrt{\frac{p}{q}}) because by using trigonometric identities and the given information, we can simplify the expression to obtain the result.

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