I was asked to find the two possible values of (TanA = -2/6), but I'm having some trouble here. In my text, it says the related acute angle is the angle between the terminal arm and the closest part of the x-axis. That would lead me to believe that if the acute angle is 18.43 degrees, then the angle in quadrant II would be 180 - 18.43 = 161.57. And in quadrant IV, 360 - 18.43 = 341.57.

This doesn't seem right to me. When I plot it on a grid, the acute angle in quadrant II is 18.43 degrees from the y-axis. In this case the angle would be 108.43 degrees. My lesson text wasn't very clear on this and I don't have any way of communicating with a teacher. I would greatly appreciate any help and clarification.

Here's my written work, I apologize for the sloppiness.

Thanks again.