Question

How do you solve `tanxsin^2x=tanx`?

Answer 1

`f(x) = tan x. sin^2 x - tan x = 0`

`= tan x (sin^2 x - 1) 0`
Next, solve the 3 basic trig equations: tan x = 0; sin x = 1;
and sin x = -1.

`tan x = 0 --> x = 0 and x = Pi`

`sin x = 1 --> x = Pi/2`

`sin x = -1 --> x = (3Pi)/2`