Unit Circle — Exact Values Worksheets
Free printable unit circle — exact values worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from exact values of sin/cos/tan at 0°, 30°, 45°, 60°, 90° at the easy level through to any quadrant, radians, includes csc/sec/cot and negative angles at the advanced level.
CCSS.HSF.TF.A.2LK20.1T.trigonometriLK20.R1.trigonometriUK.A-Level.Pure.TrigonometryUK.GCSE.Higher.Trigonometry
Difficulty Levels
Beginner
- Concepts
- Exact values of sin/cos/tan at 0°, 30°, 45°, 60°, 90°
- Number Range
- Q1 angles only, degrees
- Steps
- 1–2 steps
- Example
- sin(30°) = ?
Easy
- Concepts
- sin/cos/tan across all four quadrants using ASTC
- Number Range
- multiples of 30° and 45°, degrees
- Steps
- 2–3 steps (reference angle + sign)
- Example
- cos(135°) = ?
Medium
- Concepts
- sin/cos/tan in radians, quadrants 1 and 2
- Number Range
- π/6, π/4, π/3, π/2, 2π/3, 3π/4, 5π/6, π
- Steps
- 2–3 steps
- Example
- tan(5π/6) = ?
Hard
- Concepts
- Any quadrant, radians, includes csc/sec/cot and negative angles
- Number Range
- all standard angles, positive and negative, any quadrant
- Steps
- 3–4 steps
- Example
- sec(−5π/4) = ?
Grade Availability
Unit Circle — Exact Values worksheets are available for Grade 2. Problems are automatically adjusted to match grade-level expectations in number range, complexity, and notation.
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