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JEE Main 2024Mathematics Calculus

easy
mcq
2024
Official previous-year question

Verified 30 May 2026.

Question

The derivative of ln(sin x) with respect to x is:

Options

  1. A

    cot x

  2. B

    tan x

  3. C

    sec x

  4. D

    cosec x

Solution

Using chain rule: d/dx[ln(sin x)] = (1/sin x) × (cos x) = cos x/sin x = cot x.

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