[Math] Proof of trigonometric identity $\cot \theta \sec\theta= 1/ \sin\theta$

Question

Is this trigonometric identity provable?

$$\color{red}{}\;\color{navy}{\cot \theta \sec \theta = \dfrac 1 {\sin \theta}}$$

I can't seem to get passed: $\dfrac{1}{\tan\theta \cos\theta}$

Answer 1

$\cot\theta\sec\theta$

$=\frac{\cos\theta}{\sin\theta}\times\frac{1}{\cos\theta}$

$=\frac{1}{\sin\theta}$