1.

If \(sin^{-1}(\frac{1}{3})+cos^{-1}x=\frac{\pi}{2}\), then find x.

Answer»

Given sin-1 (1/3) + cos-1 x = π/2 

⇒ sin-1 (1/3) = π/2 – cos-1

We know that sin-1 x + cos-1 x = π/2 

⇒ sin-1 (1/3) = sin-1

∴ x = 1/3



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