Question

sin theta = 0.5 solve 0≤theta≤360

Answer 1

So: you're told that the sine of the angle "theta" is 0.5, or 1/2.
First: In which quadrants is the sine positive?

Answer 2

Think of the 30-60-90 triangle and the related lengths of its sides. Could you use this triangle to determine which 2 angles have the sine 0.5?

Answer 3

\[sin(\theta)=0.5\]

to this quadrant we have 2 possible values.

\[\theta=arcsin(0.5)\]

\[\boxed{\boxed{\theta_1=30^o~~~~or~~~~\theta_2=150^o}}\]