Theory of Intelligence
12TH•Mathematics•Graphical Representation Of Functions•Question 7

(iv)

Prove the following inverse hyperbolic formulae.

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(iv)

\csch−1x=ln⁡(1x+1x2+1),  x≠0\csch^{-1} x = \ln\left(\dfrac{1}{x} + \sqrt{\dfrac{1}{x^2} + 1}\right),\; x \neq 0

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