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.Write down the exact value of sin 60°.
- 2.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.
- 3.Work out the exact value of sin 30° + cos 60°.
- 4.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.
- 5.Work out the exact value of tan 30° + tan 30°.
- 6.Work out the exact value of (cos 45°)² + (sin 45°)².
- 7.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 8.Write down the exact value of cos 30°.
- 9.Write down the exact value of tan 45°.
- 10.Three of these are rational numbers and one is irrational. Write down the one that is irrational.
- 11.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
- 12.Put sin 30°, tan 30° and cos 30° in order of size, starting with the smallest.
- 13.Write down the exact value of cos 45°.
- 14.Work out the exact value of cos 0° − sin 30°.
- 15.Write down the exact value of sin 45°.
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