Integrate : $\int \large\frac{\sin x}{1-\sin x}$$dx$

Question

$$\begin {array} {1 1} (a)\;\sec x -\tan x +x+c \\ (b)\;-\sec x +\tan x -x+c \\ (c)\;\sec x+\tan x +x +c \\ (d)\;\sec x - \tan x -x +c \end {array}$$