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
MathsUKwww.geekhero.co.uk
- 1.Each of these has an exact value. Write down the one whose value is the greatest.
- 2.Work out the exact value of (sin 30°)² + (cos 30°)².
- 3.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
- 4.Write down the exact value of sin 60°.
- 5.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.
- 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.Write down the exact value of cos 30°.
- 8.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 9.Write down the exact value of sin 0°.
- 10.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.
- 11.Write down the exact value of tan 45°.
- 12.Write down the exact value of sin 45°.
- 13.Work out the exact value of (cos 45°)² + (sin 45°)².
- 14.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 15.Write down the exact value of cos 45°.
Build your own mix at the worksheet builder.