Determine the corresponding ordered pair of the point on the unit circle for the following angle:600°

Question

Choices are ;

 

(-1/2, sqrt 3/2)

 

(-1/2, - sqrt 3/2)

 

(1/2, - sqrt 3/2)

 

(1/2, sqrt 3/2)

Answer 1

Make sure you have your unit circle ready!

The trick here is to subtract a multiple of 360 degrees until your number in question is between 0 and 360. In this case here, 600 - 1(360) = 600 - 360 = 240. 240 is between 0 and 360. Now refer to the unit circle and one will see that 240 corresponds to the point (-1/2, -sqrt 3/2).