If \(\int {\frac{{\cos x}}{{(1 - \sin x)(2 - \sin x)}}dx = F(x) + C} \), then F (x) is
1
\(\log |\frac{{1 - \sin x}}{{2 + \sin x}}|\)
2
\(\log |\frac{{2 - \sin x}}{{1 - \sin x}}|\)
3
\(\log |\frac{{1 + \sin x}}{{2 + \sin x}}|\)
4
\(\log |\frac{{\sin x - 1}}{{2 - \sin x}}|\)