himpunan penyelesaian persamaan cos 2x-2sin=1;0 ≤x≤2 π

TriGonoMetRi

cos 2x - 2 sin x = 1
1 - 2 sin² x - 2 sin x - 1 = 0
sin² x + sin x = 0
sin x (sin x + 1) = 0
sin x = 0
x = 0° , 180° , 360° = 0 , π , 2π

sin x + 1 = 0
sin x = -1
x = 270°

HP = {0 , π , 3/2 π , 2π}