Integrate : $\int \limits _0^{\frac{\pi}{4}} \large\frac{\sin 5 x}{\cos 7x}$$dx$

Question

\[\begin {array} {1 1} (a)\;\frac{1}{6} \\ (b)\;\frac{1}{3} \\ (c)\;\frac{2}{3} \\ (d)\;\frac{5}{6} \end {array}\]