Integrate : $\int \large\frac{1}{1+\cos x }$$ dx$

Question

\[\begin {array} {1 1} (a)\;cosec x +\cot x +c \\ (b)\;-cosec x +\cot x +c \\ (c)\;\sin ^2 x+\cos x \sin x +c \\ (d)\;cosec x - \cot x +c \end {array}\]