Question

$$(2+\tan^{2}\alpha)\times\frac{1}{\cos^{2}\alpha}-1$$

Evaluate

$\frac{\left(\sin(2\alpha )\right)^{2}+4}{4\left(\cos(\alpha )\right)^{4}}$

Differentiate w.r.t. α

$\frac{2\tan(\alpha )\left(2\left(\tan(\alpha )\right)^{2}+3\right)}{\left(\cos(\alpha )\right)^{2}}$