If $\sin x$ is an intergrating factor of the differential equation $\frac{d y}{d x}+P y=Q$, then P can be

$\log \sin x$ $\cot x$ $\sin x$ $\log \cos x$

$\cot x$

We have, Integrating factor = $\sin x$ $\Rightarrow  e^{\int P d x}=\sin x$ $\Rightarrow \int P d x=\log \sin x \Rightarrow P=\frac{d}{d x}(\log \sin x)=\cot x$