how to Sketch and find the coordinates of the point corresponding to each angle on the unit circle.

Question

Sketch and find the coordinates of the point corresponding to each angle on the unit circle.

P is at 540 degrees

P = ( , )

Q is at -180 degrees

Q = ( , )

R is at 360 degrees

R = ( , )

Answer 1

positive angle measurement you go COUNTERCLOCKWISE around the circle from start

negative angle measurement you go CLOCKWISE around the circle from start

540°(+ measurement so counterclockwise movement) 540° is a full circle around (360°) which would bring you back to the start point, PLUS another 180° which would be a half circle. This would land you at the point P=(-1,0)

-180° (- measurement so clockwise movement) start at start point and move a half circle landing you at the point Q=(-1,0) as well.

360° (+ measurement so counterclockwise movement); 360 is a full circle so you would travel all the way around circle and back to the same spot at start point which is the point R=(1,0)