CUET Preparation Today
The function $f(x)=log(\sin x)$ is ____________. |
strictly increasing in $\left(0, \frac{\pi}{2}\right)$ strictly decreasing in $\left(0, \frac{\pi}{2}\right)$ strictly increasing in $\left(\frac{\pi}{2}, 0\right)$ neither increasing nor decreasing in $\left(\frac{\pi}{2}, 0\right)$ |
strictly increasing in $\left(0, \frac{\pi}{2}\right)$ |
$f(x)=log(\sin x)$ so differentiating wrt x $f'(x) = \cot x$ in $(0,\frac{π}{2})$ $\cot x>0$ $f(x)$ → increasing in $(0,\frac{π}{2})$ |
