Tentukan Hp persamaan sin 3x=cos2x

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Tentukan Hp persamaan sin 3x=cos2x

Sin 3x = cos 2x
sin 3x = sin (90 – 2x)

1. 3x = 90 – 2x + k.360
5x = 90 + k.360
x = 18 + k.72
k=0, x = 18 + 0.72 = 18
k=1, x = 18 + 1.72 = 90
k=2, x = 18 + 2.72 = 162
k=3, x = 18 + 3.72 = 234
k=4, x = 18 + 4.72 = 306
k=5, x = 18 + 5.72 = 378 ( tidak memenuhi )

2. 3x = ( 180 – (90 – 2x) ) + k.360
3x = ( 90 + 2x + k.360 )
x = 90 + k.360
k=0, x = 90 + 0.360 = 90
k=1, x = 90 + k.360 = 450 ( tidak memenuhi )

HP={ 18, 90, 162, 234, 306 }