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