Question

$$\cos^{2}\theta+\sec^{2}\theta$$

Evaluate

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

Differentiate w.r.t. θ

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