Question

find all the solutions to the equation
2sin theta-1=0
write it in terms of radians

Answer 1

2 sin(theta)-1=0 or
2 sin(theta-1)=0

Answer 2

the first one

Answer 3

I will assume
2 sin(theta)=1
sin(theta)=1/2

Now let's think, Sin of what angle gives you 1/2

Answer 4

Remember unit circle

Answer 5

pi/6

Answer 6

yes, what else?

Answer 7

idk

Answer 8

sin(150)=sin(5pi/6)=1/2

Answer 9

But that's not all because if you go around in full circle pi/6+2Pi (30+360=390) you are right where you were so same value of Sin()

So it is not just pi/6.
pi/6, pi/6+2pi, pi/6+2pi+2pi+.....
pi/6,pi/6+2pi, pi/6+4pi +........ = pi/6+2n*pi

Answer 10

Do the same with sin(150)=sin(5pi/6)=1/2