Mohon bantu 13 yang B ya:)
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interval [0°,π]
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sin 6x + sin 2x + sin 4x = 0
2 sin (6x + 2x)/2 cos (6x – 2x)/2 + sin 4x = 0
2 sin 4x cos 2x + sin 4x = 0
sin 4x (2 cos 2x + 1) = 0
sin 4x = 0 → x = 0°, 180°
2 cos 2x + 1 = 0
cos 2x = -1/2
2x = 120° + k.360°
x = 60° + k.180°
2x = 240° + k.360°
x = 120° + k.180°
k bilangan bulat
k = 0 → x = 60°, 120°
k = 1 → x = 240° , 300°
Nilai x yg memenuhi
0°, 60°, 120°, dan 180°