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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1
If cosec    θ=p+qp−q\mathrm{cosec}\;\,\,\theta = \frac{{p + q}}{{p - q}}, then cot⁡  (π/4+θ/2)=\cot \,\,\left( {\pi /4 + \theta /2} \right) =
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Correct option: B
qp\sqrt {\frac{q}{p}}
Option B, qp\sqrt {\frac{q}{p}}, is correct because it is the simplified form of cot⁡(π/4+θ/2)\cot \left( {\pi /4 + \theta /2} \right) after substituting the given value of cosec   θ\mathrm{cosec}\;\,\theta and using trigonometric identities.

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