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Prove that : tan^-1[(sqrt(1+x) - sqrt(1-...

Prove that : `tan^-1[(sqrt(1+x) - sqrt(1-x))/(sqrt1+x + sqrt1-x)] = pi/4 - 1/2cos^-1x`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(4)-(1)/(2)cos^(-1)x`
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