Question

$$\sin^{2}\alpha\ \sec^{2}\beta+\tan^{2}\beta\ \cos^{2}\alpha$$

Evaluate

$\left(\sin(\alpha )\right)^{2}+\left(\tan(\beta )\right)^{2}$

Differentiate w.r.t. α

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