Question

Nilai x yang memenuhi sin (x+30) + cos (x+30) = 0

Answer 1

Verified answer

2 sin a cos a =sin 2a

Sin (x+30)cos(x+30)=1/2 sin 2(x+30)=0
=1/2 sin (2x+60)=0
1/2sin (2x+60)=sin 0 atau 1/2 sin (2x+60)=sin (0+k.2π)
Sin (2x+60)=sin 0 sin(2x+60)=sin 180
2x+60=0 2x+60=180
2x=-60 x=60
X=-30 2x+60=360
X=150
2x+60=540
2x=480
X=240


Hp={60,150,240}