Verify sin (360-theta) = -sin theta

That is truth

Step-by-step explanation:

Remember that sin (x-y) = sin (x) * cos (y) + sin (y) * cos (x)

Lets evaluate x=360, y=theta

sin (360-theta) = sin (360) * cos (theta) - sin (theta) * cos (360)

Also, remember that sin (360) = sin (0) = 0

Cos (360) = cos (0) = 1

Thus

Sin (360-theta) = -sin (theta)