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.Three of these are rational numbers and one is irrational. Write down the one that is irrational.
- 2.Work out the exact value of sin 30° + cos 60°.
- 3.Put sin 30°, tan 30° and cos 30° in order of size, starting with the smallest.
- 4.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
- 5.Each of these has an exact value. Write down the one whose value is the greatest.
- 6.Work out the exact value of tan 30° + tan 30°.
- 7.Work out the exact value of sin 45° × cos 45°.
- 8.Write down the exact value of tan 60°.
- 9.Write down the exact value of sin 60°.
- 10.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.
- 11.Work out the exact value of (sin 30°)² + (cos 30°)².
- 12.Write down the exact value of sin 0°.
- 13.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.
- 14.Write down the exact value of tan 45°.
- 15.Write down the exact value of sin 45°.
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