Question

$$\sec\ \theta(1-\sin\ \theta)(\sec\ \theta+\tan\ \theta)$$

Evaluate

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

Factor

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