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Reference Angles and Evaluating at Any Angle (Algebra 2)

Free printable Algebra 2 precalculus worksheet on finding the reference angle of any special angle and using the quadrant sign to evaluate a trigonometric function exactly.

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Algebra 2 · Math worksheet
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Algebra 2: Reference Angles and Evaluating at Any Angle

For each angle, state the reference angle (the acute angle to the x-axis), then use the quadrant to attach the correct sign and give the exact value.

  1. 1.
    Find the reference angle for 120°, then evaluate sin(120°). Give an exact value.
  2. 2.
    Find the reference angle for 135°, then evaluate cos(135°). Give an exact value.
  3. 3.
    Find the reference angle for 225°, then evaluate tan(225°). Give an exact value.
  4. 4.
    Find the reference angle for 240°, then evaluate sin(240°). Give an exact value.
  5. 5.
    Find the reference angle for 90°, then evaluate cos(90°). Give an exact value.
  6. 6.
    Find the reference angle for 240°, then evaluate tan(240°). Give an exact value.
  7. 7.
    Find the reference angle for 270°, then evaluate sin(270°). Give an exact value.
  8. 8.
    Find the reference angle for 330°, then evaluate cos(330°). Give an exact value.
  9. 9.
    Find the reference angle for 330°, then evaluate tan(330°). Give an exact value.
  10. 10.
    Find the reference angle for 225°, then evaluate sin(225°). Give an exact value.
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