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Persamaan Trigonometri
cos 3x = sin x
cos 3x = cos (90 – x)°
3x = 90° – x + k.360°
3x + x = 90° + k.360°
4x = π/2 + k.2π
x = π/8 + k.π/2 … (1)
cos 3x = sin x
cos 3x = cos (270 + x)°
3x = 270° + x + k.360°
3x – x = 270° + k.360°
2x = 3π/2 + k.2π
x = 3π/4 + k.π … (2)
k bilangan bulat
Interval [0 , 2π]
Substitusikan k ke persamaan (1) dan (2)
k = 0
x = π/8 atau x = 3π/4
k = 1
x = 5π/8 atau x = 7π/4
k = 2
x = 9π/8 atau x = 11π/4
k = 3
x = 13π/8
HP = {π/8, 5π/8, 3π/4, 9π/8, 13π/8, 7π/4}