1)tan^2x=3 ?

Question

2)tan x sin^2x=tan x ?

3)2cosx sinx - cos x=0

Answer 1

1.
tan^2 x = 3
tanx =±√3 , so x is in all 4 quadrants

x = 60° , 120° , 240° , 300°

2.
tanx sin^2 x = tanx
tanx(sin^2 x -1) = 0
tanx = 0 or sinx = ± 1

if tanx = 0 , x = 0°, 180°, 360°
if sinx= ±1, then x = 90°, 270°

3.
cosx(2sinx - 1) = 0
cosx = 0 or sinx = 1/2

if cosx = 0, then x = 90°, 270°
if sinx = 1/2, then x = 30°, 150°

I assume you know how to convert these to radians if you have to.