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.
Non-calculator
Exact trigonometric values worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
- 2.Work out the exact value of (sin 30°)² + (cos 30°)².
- 3.Write down the exact value of cos 60°.
- 4.Write down the exact value of sin 45°.
- 5.Write down the exact value of tan 60°.
- 6.Work out the exact value of sin 45° × cos 45°.
- 7.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.
- 8.Work out the exact value of tan 30° + tan 30°.
- 9.A right-angled triangle has a hypotenuse of 10 cm. One of its other angles is 45°. Work out the exact length of one of the two shorter sides.
- 10.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 11.Work out the exact value of sin 30° + cos 60°.
- 12.Write down the exact value of sin 60°.
- 13.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 14.Write down the exact value of sin 0°.
- 15.Each of these has an exact value. Write down the one whose value is the greatest.
Build your own mix at the worksheet builder.