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.A ramp rises at 30° to the horizontal. Its sloping surface is 4.8 m long. Safety rules say the vertical rise of a ramp must be no more than 2.5 m. Work out how far below that limit the rise of this ramp is.
- 2.Write down the exact value of tan 0°.
- 3.Write down the exact value of sin 45°.
- 4.Write down the exact value of sin 0°.
- 5.Write down the exact value of tan 45°.
- 6.A right-angled triangle has a hypotenuse of 14 cm. One of the other angles is 30°. Work out the exact length of the side opposite the 30° angle.
- 7.A tent's sloping side makes an angle of 45° with the ground. The sloping side is 3√2 m long. Using the exact value of sin 45°, work out the exact height of the tent.
- 8.Work out the exact value of sin 45° × cos 45°.
- 9.Write down the exact value of cos 30°.
- 10.Write down the exact value of sin 60°.
- 11.Write down the exact value of cos 60°.
- 12.Three of these are rational numbers and one is irrational. Write down the one that is irrational.
- 13.Each of these has an exact value. Write down the one whose value is the greatest.
- 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.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
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