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Question

Question: \(\text{cosec}\text{h}^{- 1}x\) equals....

cosech1x\text{cosec}\text{h}^{- 1}x equals.

A

log(1+1+x2x)\log\left( \frac{1 + \sqrt{1 + x^{2}}}{x} \right)

B

log(1+1x2x)\log\left( \frac{1 + \sqrt{1 - x^{2}}}{x} \right)

C

log(11x2x)\log\left( \frac{1 - \sqrt{1 - x^{2}}}{x} \right)

D

log(11+x2x)\log\left( \frac{1 - \sqrt{1 + x^{2}}}{x} \right)

Answer

log(1+1+x2x)\log\left( \frac{1 + \sqrt{1 + x^{2}}}{x} \right)