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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1
If x=log⁡  [cot⁡(π4+θ)]x = \log \,\,\left[ {\cot \left( {\frac{\pi }{4} + \theta } \right)} \right], then the value of sinh⁡  x\sinh \,\,x is
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Correct option: B
−tan⁡  2θ- \tan \,\,2\theta
Option B (−tan⁡ 2θ- \tan \,2\theta) is correct because simplifying the expression sinh⁡x=ex−e−x2\sinh x = \frac{{{e^x} - {e^{ - x}}}}{2} with the given value of xx yields −tan⁡ 2θ- \tan \,2\theta.

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