how do you find all the values of theta from 0 degrees through 360 degrees for which sin theta equals 0

Answer 1

In google type:

Graphs of the trigonometric functions

You will find many sites with graph of

y=sin(x)

or

y=sin(theta)

sin(theta)=0 for:

theta=0

theta= pi radians or theta=180°

and

theta= 2pi radians or theta=360°

Answer 2

(20 degree, 210 degree)