Practice finding coordinates, sine, cosine, tangent, and angle measures using the unit circle.
Read each problem carefully. Use the unit circle relationships to find exact values when possible. Show your work in the space provided.
Using angles, coordinates, and trig values on the unit circle
Math - Grade 9-12
- 1
On the unit circle, what point corresponds to an angle of 0 degrees?
- 2
Find the coordinates on the unit circle for 90 degrees.
- 3
State the exact values of sin 30 degrees and cos 30 degrees.
- 4
State the exact values of sin 45 degrees and cos 45 degrees.
- 5
Find tan 60 degrees using sin 60 degrees and cos 60 degrees.
- 6
What are the coordinates on the unit circle for 150 degrees?
- 7
Find the exact value of sin 210 degrees.
- 8
Find the exact value of cos 315 degrees.
- 9
Find the exact value of tan 135 degrees.
- 10
Convert 120 degrees to radians.
- 11
Convert 7pi over 6 radians to degrees.
- 12
Find the reference angle for 240 degrees.
- 13
On the unit circle, the point for an angle theta is (square root of 3 over 2, 1/2). Find sin theta and cos theta.
- 14
If sin theta = -square root of 2 over 2 and cos theta = -square root of 2 over 2, what angle between 0 degrees and 360 degrees is theta?
- 15
Explain why tan 90 degrees is undefined using unit circle values.