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Question

Solve:
cos1(3cosx4sinx5)

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Solution

Given,
cos1(3cosx4sinx5)
=cos1(35cosx45sinx)

Let
35=cosα,45=sinα

Therefore,
=cos1(cosαcosxsinαsinx)
=cos1(cos(x+α))
=x+α where α=cos135

Hence, this is the answer.

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