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Application of Derivatives

Oswaal

CBSE

Grade 12

Question:

The function $f(x) = \log(\sin x)$ is strictly increasing on:
(a) $(0, \pi/2)$
(b) $(\pi/2, \pi)$
(c) $(0, \pi)$
(d) $(-\pi/2, \pi/2)$

Step-by-Step Solution

Key Concept: f'(x) = cot x > 0 on (0, \pi/2).

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: $(0, \pi/2)$

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