The Unit Circle Assignment

y=?

- sqrt 3/2

Identify the reference angle b0 for each given angle, 0

60 45 60 30

The angles that share the same sine value as sin(45°) have terminal sides in quadrant

II

The angles that share the same tangent value as tan(45°) have terminal sides in quadrant

III

Select all that have a value of 0.

cos pie/2 sin 0 tan pie

Find the coordinates of the point (x, y) shown on the unit circle. x =

-1/2

Consider all angles whose reference angle is 45° with terminal sides not in Quadrant I. The angles that share the same cosine value as cos 45° have terminal sides in quadrant .

IV

Select all angle measures for which cos0 =1/2

-60 degrees 660 degrees

Select all angle measures for which sin0 = - sqrt 2/2

5 pie/4 7 pie/4 13 pie/4

For which angle θ is cos θ = −1?

540 degrees

Explain how to find the exact value of sin(570°).

Find that the terminal side lands in quadrant III. The angle is coterminal with a 210° angle. The reference angle is 30°. The sine of 30° is 1/2. Sine is negative in quadrant III. The sine of 570° is -1/2.