Question

How do you prove `tan^2(x) / sec(x) = sec(x) - cos(x)`?

Answer 1

see below

Explanation:

Use Property `sec^2x=tan^2x+1`

Left Side:`=tan^2x/secx`

`=(sec^2x-1)/secx`

`=sec^2x/secx - 1/secx`

`=secx-cosx`

`=`Right Side