This is for my trig class, thanks for the help! If you could, could you please show all your work? Thanks again!

Sin 2X = CosX

2 Sinx CosX - CosX =0

CosX ( 2 Sin X - 1 ) =0

Cos X = 0 X = 90° = π/2 or X = 270° = 3π/4

2SinX = 1 X = 30° = π/6 or X = 150° = 5π/6