question_answer

\[\int_{{}}^{{}}{\frac{\sin x\ dx}{{{a}^{2}}+{{b}^{2}}{{\cos }^{2}}x}}=\]

A)            \[\log ({{a}^{2}}+{{b}^{2}}{{\cos }^{2}}x)+c\]

B)            \[\frac{1}{ab}{{\tan }^{-1}}\left( \frac{a\cos x}{b} \right)+c\]

C)            \[\frac{1}{ab}{{\cot }^{-1}}\left( \frac{b\cos x}{a} \right)+c\]

D)            \[\frac{1}{ab}{{\cot }^{-1}}\left( \frac{a\cos x}{b} \right)+c\]