Question

How do you verify the identity `1/tanbeta+tanbeta=sec^2beta/tanbeta`?

Answer 1

see below

Explanation:

Left Hand Side:

`1/tan beta + tan beta=(1+tan^2beta)/tan beta`

Use identity; `1+tan^2 beta=sec^2beta`

`=sec^2beta/tan beta`

`:.=` Right Hand Side