Find every angle (theta) between 0 & 360 degrees for which the ratio of sin theta and cosine theta is -3.00

Answer 1

tanTheta=-3
theta=arctan(-3)

Now tan theta is negative in the second and fourth quadrant.

put this in your google search window: arctan(-3)=
and you get -71.57 deg (appx).That is the fourth quadrant, for the second quadrant, add 180 degrees.