1. sin x = 1/2
2. tan x = akar3
3. 2 cos x + 1 = 0
4. cos x + 1 = 0
tolong jawabannya disertai dengan penjelasan :3
Tentukan Nilai x yang memenuhi persamaan berikut
1) sin x = 1/2
sin x = sin 30
x = α + k.360 atau x = (180-α) + k.360
x = 30 + k.360 x = (180-30) + k.360
k = 0 –> x = 30 x = 150 + k.360
k = 0 –> 150
Hp = {30°, 150°}
2) tan x = √3
tan x = tan 60
x = α + k.180
x = 60 + k.180
k = 0 –> x = 60
k = 1 –> x = 240
Hp = {60°, 240°}
3) 2 cos x + 1 = 0
2 cos x = -1
cos x = -1/2
cos x = cos 120
x = α + k.360 atau x = -α + k.360
x = 120 + k.360 x = -120 + k.360
k = 0 –> x = 120 k = 1 –> x = 240
Hp = {120°, 240°}
4) cos x + 1 = 0
cos x = -1
cos x = cos 180
x = α + k.360 atau x = -α + k.360
x = 180 + k.360 x = -180 + k.360
k = 0 –> x = 180 k = 1 –> x = 180
Hp = {180°}
semoga membantu ya 🙂