Q. 16 4.6( 15 Votes )

Prove that the function f given by f (x) = log sin x is strictly increasing on and strictly decreasing on .

Answer :

It is given that f (x) = log sin x

In interval, f’(x) = cot x >0

Therefore, f is strictly increasing in.

In interval, f’(x) = cot x < 0

Therefore, f is strictly decreasing in.

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