If `sin ^(-1) x =(pi)/(4)`, find the value of `cos^(-1) x`.

1.	If `sin ^(-1) x =(pi)/(4)`, find the value of `cos^(-1) x`.
Answer» `sin^(-1)x =(pi)/(4)` ` x = sin.(pi)/(4) =(1)/sqrt(2)` `cos^(-1) x = cos^(-1) (1)/sqrt(2)` `cos ^(-1) (cos.(pi)/(4)) =(pi)/(4)`

Discussion

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