Question

$$\frac{\cos\ \theta}{1-\sin\ \theta}+\frac{\cos\ \theta}{1+\sin\ \theta}$$

Evaluate

$\frac{2}{\cos(\theta )}$

Differentiate w.r.t. θ

$\frac{2\sin(\theta )\left(\left(\sin(\theta )\right)^{2}+\cos(2\theta )\right)}{\left(-\left(\sin(\theta )\right)^{2}+1\right)^{2}}$