Integrate :$\int \limits_0^{\frac{\pi}{4}}$$ \large\frac{\sin ^3 x}{\cos ^7 x}$$dx$

Question

\[\begin {array} {1 1} (a)\;\frac{1}{6} \\ (b)\;\frac{1}{4} \\ (c)\;\frac{7}{12} \\ (d)\;\frac{5}{12} \end {array}\]