Which quadrant does the terminal side of -509 degrees lie?
We have an angle of
First, the negative sign tells us we're moving in a clockwise direction, so from the positive x-axis, down into Q4 and around through Q3, Q2, Q1 and back to the x-axis again. We've gone
Ok, so now let's move another 90 and sweep through Q4:
We can't move another full 90, so we end in Q3.