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Exact Trigonometric Values (Year 10)

Free printable UK Year 10 (GCSE Foundation) maths worksheet: recall the exact values of sin, cos and tan for 0°, 30°, 45°, 60° and 90°, without a calculator.

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Grade 9 · Math worksheet
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Math

Exact Trigonometric Values

Recall the exact values of sin, cos and tan for the standard angles 0°, 30°, 45°, 60° and 90° (tan 90° is undefined and not required), and use the table in reverse to identify an angle from a given exact value.

  1. 1.
    State the exact value of sin 30°.
  2. 2.
    State the exact value of sin 0°.
  3. 3.
    State the exact value of cos 45°.
  4. 4.
    State the exact value of sin 60°.
  5. 5.
    State the exact value of cos 90°.
  6. 6.
    State the exact value of sin 45°.
  7. 7.
    State the exact value of sin 90°.
  8. 8.
    State the exact value of tan 60°.
  9. 9.
    State the exact value of tan 30°.
  10. 10.
    State the exact value of cos 0°.
  11. 11.
    For 0° ≤ theta ≤ 90°, find the angle theta for which sin theta = 3\sqrt{3}/2.
  12. 12.
    For 0° ≤ theta ≤ 90°, find the angle theta for which sin theta = 1.
  13. 13.
    For 0° ≤ theta ≤ 90°, find the angle theta for which tan theta = 1.
  14. 14.
    For 0° ≤ theta ≤ 90°, find the angle theta for which cos theta = 3\sqrt{3}/2.
  15. 15.
    For 0° ≤ theta ≤ 90°, find the angle theta for which sin theta = 12.
  16. 16.
    For 0° ≤ theta ≤ 90°, find the angle theta for which cos theta = 0.
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