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If sin(sin^(-1)(1/5)+cos^(-1)(x))=1 Find...

If `sin(sin^(-1)(1/5)+cos^(-1)(x))=1` Find the value of `x`.

Text Solution

Verified by Experts

Given
`sin (sin ^{-1} frac{1}{5}+cos ^{-1} x)=1`

Putting `sin frac{pi}{2}=1`

`sin (sin ^{-1} frac{1}{5}+cos ^{-1} x)=sin frac{pi}{2}`

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