Question

Differential coefficient of $\log \left(\sin x\right)$ with respect to $x$ is:

• A. $\cot x$
• B. $\text{cosec}x$
• C. $\tan x$
• D. $\sec x$

Answer 1

Answer: (A)

$\cot x$

$\frac{d}{dx}\left[\log \right(\sin x\left)\right]=$ $\frac{1}{\sin x}\frac{d}{dx}\left(\sin x\right)$

$=\frac{1}{\sin x}\cos x$

$=\cot x$