Integrate : $\int \limits_0^{\large\frac{\pi}{2}}$$\log \sin ^2 x \;dx$

Question

$$\begin {array} {1 1} (a)\;\pi \log \bigg(\frac{1}{2}\bigg) \\ (b)\;\log \bigg(\frac{1}{2}\bigg) \\ (c)\;3 \pi \log\bigg(\frac{1}{2}\bigg) \\ (d)\;None \end {array}$$