tentukan himpunan penyelesaian setiap persamaan berikut untuk -360° < dari x < dari 360° a)sin 2x = -1/2 akar 3 b)cos 3x = -0,5 c) cos (45° - x) = 1/2 akar 3 d)

a) sin 2x = -1/2√3
sin 2x = sin 240, 300
2x = 240+k.360
x = 120 + k.180
k = -2, x = -240
k = -1, x = -60
k = 0, x = 120
k = 1, x = 300
2x = 300+k.360
x = 150+k.180
k = -2, x = -210
k= -1, x = -30
k= 0, x = 150
k=1, x = 330
HP = { -240, -210, -60, -30, 120, 150, 300, 330 }
b) cos 3x = -1/2
cos 3x = cos 120, 240
3x = 120+k.360
x = 40+k.120
k =-3, x = -320
k= -2, x = -200
k= -1, x = -80
k= 0, x= 40
k= 1, x=160
k= 2, x = 280
3x = 240+k.360
x = 80+k.120
k = -3, x = -280
k = -2, x = -160
k = -1, x = -40
k = 0, x =80
k= 1, x =200
k = 2, x = 320
HP = {-320, -280, -200, -160, -80, -40, 40, 80, 160, 200, 280, 320 }
c) cos (45 - x) = 1/2√3
cos (45 -x) = cos 60, 330
(45 -x) = 60
-x = 60-45
-x = 15+k.360
x = -15-k.360
k= -1, x = 345
k = 0, x = -15
(45 -x) = 330
-x = 330-45
-x = 285+k.360
x = -285 -k.360
k = -1, x = 75
k = 0, x = -285
HP = { -285, -15, 75, 345 }
d) sin (2x-150) = 1/2√2
sin (2x-150) = sin 45, 135
2x -150 = 45
2x = 45. + 150
2x = 195 + k.360
x = 195/2+ k.180(silahkan teruskan)

2x = 135+k.360
x = 135/2+k.180( silahkan)