Solve the following equation: `sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x`

Explanation

`\sin ^{-1} \{x}+\sin ^{-1}(1-\x)=\cos ^{-1} x `


`\Rightarrow \sin ^{-1}(1-x)=\frac{\pi}{2}-2 \sin ^{-1} x `



`\Rightarrow \quad(1-x)=\sin (\frac{\pi}{2}-2 \sin ^{-1} x)`



...