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

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

Melinda
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
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 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

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