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