Question

$$\frac{ \sin 2 \theta }{ \sin \theta } - \frac{ \cos 2 \theta }{ \cos \theta } \sec \theta$$

Evaluate

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

Differentiate w.r.t. θ

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