Question

solve: 2sin(3x)=1 on [-pi,pi] thx

Answer 1

/2 so you get

sin(3x)=1/2

Answer 2

now you can think of this as sin x = 1/2 which will be pi/6 but you have 3 theta so

pi/6*3

Answer 3

sin(3x)=1/2
since sin(x)=1/2 at pi/6 and 5pi/6
3x=pi/18 and 3x=5pi/18

Answer 4

so your answers will be

pi/18
and
5pi/18