Question

How do you prove `cot(x) - tan(x) = 2cot2(x)`?

Answer 1

Please see below.

Explanation:

`cotx-tanx`

= `cotx-1/cotx`

= `(cot^2x-1)/cotx`

= `2xx(cot^2x-1)/(2cotx)`

= `2cot2x`