If sin(sin-1(1/5) + cos-1x) = 1, then find the value of x. – InterviewSolution

1.

If sin(sin-1(1/5) + cos-1x) = 1, then find the value of x.

Answer»

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

⇒ sin^-1(1/5) + cos^-1x = sin^-11

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

⇒ x = 1/5

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