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.Write down the exact value of cos 30°.
- 2.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
- 3.Put sin 30°, tan 30° and cos 30° in order of size, starting with the smallest.
- 4.Write down the exact value of tan 60°.
- 5.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 6.Work out the exact value of tan 30° + tan 30°.
- 7.Write down the exact value of sin 60°.
- 8.Write down the exact value of sin 0°.
- 9.Each of these has an exact value. Write down the one whose value is the greatest.
- 10.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.
- 11.Write down the exact value of tan 45°.
- 12.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.
- 13.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.
- 14.Write down the exact value of cos 60°.
- 15.Write down the exact value of sin 45°.
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