On the interval ( 0, 2 ), the function log ,sin ,x is - Vidyadip

MCQ

On the interval $\left( {0,{\pi \over 2}} \right)$, the function $ log \,sin \,x $ is

✓
Increasing
B
Decreasing
C
Neither increasing nor decreasing
D
None of these

✓

Answer

Correct option: A.

Increasing

a
(a) Let $f(x) = \log \sin x \Rightarrow f'(x) = \cot x$

Hence function is increasing on the interval $\left( {0,\frac{\pi }{2}} \right)$.

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