The value of $\large\frac{\cos\theta}{1+\sin\theta}$ is equal to

Question

$\begin{array}{1 1}(a)\;\tan\big(\large\frac{\theta}{2}-\frac{\pi}{4}\big)&(b)\;\tan \big(-\large\frac{\pi}{4}-\frac{\theta}{2}\big)\\(c)\;\tan\big(\large\frac{\pi}{4}-\frac{\theta}{2}\big)&(d)\;\tan\big(\large\frac{\pi}{4}+\frac{\theta}{2}\big)\end {array}$