If cos (sin-1 \(\frac 25\) + cos-1 x) = 0, find the value of x. – InterviewSolution

1.

If cos (sin-1 \(\frac 25\) + cos-1 x) = 0, find the value of x.

Answer»

Given cos (sin^-1 2/5 + cos^-1 x) = 0

⇒ cos (sin^-1 2/5 + cos^-1 x) = cos (π/2)

⇒ sin^-1 2/5 + cos^-1 x = π/2

We know that sin^-1 x + cos^-1 x = π/2

∴ x = 2/5

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