Printable · GCSE Foundation · ages 14-16
Exact trigonometric values worksheet — GCSE Foundation
Fifteen questions on "exact trigonometric values" — DfE statement G21. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Exact trigonometric values worksheet — GCSE Foundation
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- 1.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 2.A ladder rests against a wall, making an angle of 60° with the ground. The ladder is 2 m long. Using the exact value of sin 60°, work out how high up the wall the ladder reaches, giving your answer in centimetres.
- 3.Work out the exact value of sin 45° × cos 45°.
- 4.A right-angled triangle has a hypotenuse of 10 cm. One of its other angles is 45°. Work out the exact length of one of the two shorter sides.
- 5.A kite string makes an angle of 30° with the ground. The kite is flying at a height of 6 m directly above a point on the ground. Using the exact value of sin 30°, work out the exact length of the kite string.
- 6.Write down the exact value of sin 45°.
- 7.Put sin 30°, tan 30° and cos 30° in order of size, starting with the smallest.
- 8.Write down the exact value of tan 60°.
- 9.Write down the exact value of tan 0°.
- 10.Work out the exact value of (sin 30°)² + (cos 30°)².
- 11.Work out the exact value of (cos 45°)² + (sin 45°)².
- 12.Write down the exact value of cos 30°.
- 13.Write down the exact value of sin 0°.
- 14.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 15.A zip-wire is fixed at an angle of 60° to the horizontal ground. The zip-wire is 12 m long. Using the exact value of cos 60°, work out the exact horizontal distance it covers.
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