Question

Choose the point on the terminal side of -210°.

(-1, 1)

(-1, square root of three)

(square root of three, -1)

(negative square root of three, 1)

Answer 1

When you go clockwise around a graph, you are moving in the negative direction. Normally when we measure angles we measure them in a counterclockwise direction. So a -210 degree angle will go clockwise around the graph and end up in Q2 with a 30 degree co terminal angle. Like this:

Answer 2

You can see by this 30 degree angle that the tangent of it is 1/-sq rt 3. So that means that a point on that terminal angle is (negative square root of 3, 1), the last of your choices above.

Answer 3

That makes a lot more sense, thank you!