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JEE MATHEMATICS MCQ: HYPERBOLIC FUNCTIONS

1 Easy
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Application +4 | -1
If −π2<x<π2- \frac{\pi }{2} < x < \frac{\pi }{2}, then the value of log⁡  sec⁡ x\log \,\,\sec \,x is
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Correct option: A
2  coth⁡−1(cosec2 x2−1)2\,\,{\coth ^{ - 1}}\left( {\mathrm{cose}{\mathrm{c}^2}\,\frac{x}{2} - 1} \right)
Option A (2  coth⁡−1(cosec2 x2−1)2\,\,{\coth ^{ - 1}}\left( {\mathrm{cose}{\mathrm{c}^2}\,\frac{x}{2} - 1} \right)) is correct because it is the result of applying componendo and dividendo rule and hyperbolic identities to the given logarithmic expression.

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