1.

If sin-1(\(\frac 13\)) + 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 x

We know that sin-1 x + cos-1 x = π/2

⇒ sin-1 (1/3) = sin-1 x

∴ x = 1/3



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