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Coordinates on the Unit Circle (Algebra 2)

Free printable Algebra 2 precalculus worksheet on reading exact (cos θ, sin θ) coordinates from the unit circle at every special angle, with a labelled reference circle.

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Algebra 2 · Math worksheet
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Algebra 2: Coordinates on the Unit Circle

Use the unit circle to give the exact coordinates (cos θ, sin θ) of the terminal point for each angle. The reference circle above shows every special angle.

0°030°π/645°π/460°π/390°π/2120°2π/3135°3π/4150°5π/6180°π210°7π/6225°5π/4240°4π/3270°3π/2300°5π/3315°7π/4330°11π/6
Unit circle reference: every special angle in degrees and radians.
  1. 1.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = 150°.
  2. 2.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = 0 rad.
  3. 3.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = 180°.
  4. 4.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = 5π/3 rad.
  5. 5.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = 315°.
  6. 6.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = 3π/2 rad.
  7. 7.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = 225°.
  8. 8.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = π/6 rad.
  9. 9.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = 120°.
  10. 10.
    Find the coordinates (cos θ, sin θ) of the point on the unit circle at θ = 4π/3 rad.
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