Integrate : $\int \log (\sin x ) \cos x dx$

Question

$$\begin {array} {1 1} (a)\;\cos x [\log (\sin x) -1]+c \\ (b)\;\sin x [\log (\sin x) -1]+c \\ (c)\;\cos x [\log (\sin x) +1]+c \\ (d)\;None \end {array}$$