Circular Functions Worksheets

Practice exact trigonometric values and identities with angle units and domains stated.

Before you begin

Use radians, the unit circle and exact special-angle values.

Worked example

Find the exact value of sin(π/4 radians).

  1. Locate the angle on the unit circle.
  2. Cosine is the x-coordinate; sine is the y-coordinate.
  3. Use the quadrant to determine the sign.

Answer: √2/2

Check your result using the method in the example before moving to the next question.

Choose your level

  • Easy: Use first-quadrant special angles.
  • Medium: Use other quadrants and basic identities.
  • Hard: Solve or combine identities with explicit intervals.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
Find the exact value of sin(π/6 radians).
2
Find the exact value of cos(π/6 radians).
3
Find the exact value of sin(π/4 radians).
4
Find the exact value of cos(π/3 radians).
5
Find the exact value of sin(0 radians).
6
Find the exact value of cos(π/4 radians).

Answer Key

1. 1/22. √3/23. √2/24. 1/25. 06. √2/2

Full worksheet sets