Question

Like Tan2x = 2Tanx/1-Tan²x , What will be the expansion of Tan²2x or (Tan2x)²?

Answer 1

`tan^2 2x = {4 tan^2 x}/{(1 - tan ^2 x )^2}`

Explanation:

`tan 2x = {2 tan x}/{1 - tan ^2 x}`

`tan^2 2x = ( {2 tan x}/{1 - tan ^2 x } )^2 = {4 tan^2 x}/{(1 - tan ^2 x )^2}`