Question 397334
Please solve 2Sin(3x)+1=0
Will you please show each step, thank you. 

2Sin(3x)+1=0
2Sin(3x)=-1
Sin(3x)=-1/2
sin(3x)=-1/2 (0<x<360)
sin is negative in the third and fourth quadrants, 
and the reference angle is 30 deg at 210 deg and 330 deg.
the angle 3x, therefore = 210 deg and 330 deg

3x=210deg
x=70deg
3x=330deg
x=110deg
ans:x=70 deg
or
x=110 deg