Answer: -1/2
Explanation:
Because the degrees given is greater than 360, we must find out what its simplest degree is. The easiest way to do this is to find the remainder of the argument divided by 360.
So let's start by doing 930 / 360. This will give you a remainder of 210 degrees. So now we are finding sin 210 degrees.
Remember that sin is the y-values of the unit circle. From 0 < θ < 180, sin θ is positive, so we automatically know it must be a negative answer. Now, 210 is 30 degree below the x-axis, meaning that coordinate pair of (cos 210 degrees, sin 210 degrees) is (-sqrt(3)/2 , -1/2). Tje y-value, -1/2, is your answer.