Question

DUE ON FRIDAY HELP!!!! WELL WRITTEN ANSWERS ONLY!!!

Point A is at 0 radians with coordinates (1, 0) on the unit circle. Point B is the result of point A rotating 7π/6 radians counterclockwise around the unit circle. Name two other positive angles of rotation that take A to B. Explain your reasoning.

Answer 1

this is very easy

You must understand if you have a point on a circle's border, and then you go around the circle 360 degrees, you will end up the same place

So the two other angles are simply:

7pi/6 + 2pi

and 7pi/6 + 2pi + 2pi

which is...

1. 19pi/6

2. and 31pi/6