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.
Exact trigonometric values worksheet — GCSE Foundation
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- 1.Write down the exact value of cos 60°.
- 2.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
- 3.Write down the exact value of cos 45°.
- 4.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.
- 5.Work out the exact value of (sin 30°)² + (cos 30°)².
- 6.Work out the exact value of sin 30° + cos 60°.
- 7.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.
- 8.Write down the exact value of tan 45°.
- 9.A pop-up canopy has two sloping supports that meet at the top. Each support makes an angle of 30° with the ground and is 6 m long. Using the exact value of cos 30°, work out the total width of the canopy's base.
- 10.Write down the exact value of sin 60°.
- 11.Work out the exact value of (cos 45°)² + (sin 45°)².
- 12.Write down the exact value of tan 60°.
- 13.Write down the exact value of sin 0°.
- 14.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.
- 15.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
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