The value of the expression $\large\frac{\sin^3x}{1+\cos x}+\frac{\cos^3x}{1-\sin x}$ is

Question

$\begin{array}{1 1}(a)\;\sqrt 2\cos\big[\large\frac{\pi}{4}-\normalsize x\big]&(b)\;\sqrt 2\cos\big[\large\frac{\pi}{4}+\normalsize x\big]\\(c)\;\sqrt 2\sin\big[\large\frac{\pi}{4}-\normalsize x\big]&(d)\;None\;of\;these\end{array}$