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The value of x satisfying the equation ...

The value of `x` satisfying the equation
`(sin^(-1)x)^(3)-(cos^(-1)x)^(3)+(sin^(-1)x)(cos^(-1)x)(sin^(-1)x-cos^(-1)x)=(pi^(3))/(16)` is : (a) `"cos"(pi)/(5)` (b) `"cos"(pi)/(4)` (c) `"cos"(pi)/(8)` (d) `"cos"(pi)/(12)`

A

`"cos"(pi)/(5)`

B

`"cos"(pi)/(4)`

C

`"cos"(pi)/(8)`

D

`"cos"(pi)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
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