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Question: Find real part of \({\cos h}^{- 1}(1)\)...

Find real part of cos⁡h−1(1){\cos h}^{- 1}(1)

A

– 1

B

1

C

0

D

None of these

Answer

0

Explanation

Solution

We know that cos⁡h−1x=log⁡(x+x2−1){\cos h}^{- 1}x = \log\left( x + \sqrt{x^{2} - 1} \right)

∴\therefore cosh⁡−1(1)=log⁡(1+12−1)\cosh^{- 1}(1) = \log\left( 1 + \sqrt{1^{2} - 1} \right)= log⁡1=0\log 1 = 0