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
MathsUKwww.geekhero.co.uk
- 1.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 2.Each of these has an exact value. Write down the one whose value is the greatest.
- 3.Write down the exact value of sin 60°.
- 4.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 5.Work out the exact value of (cos 45°)² + (sin 45°)².
- 6.Write down the exact value of sin 45°.
- 7.Work out the exact value of sin 45° × cos 45°.
- 8.Work out the exact value of (sin 30°)² + (cos 30°)².
- 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.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.
- 11.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.
- 12.A cable supporting a flagpole is anchored to the ground 5 m from the base of the pole. The cable makes an angle of 60° with the ground. Using the exact value of tan 60°, work out the exact height of the flagpole.
- 13.Work out the exact value of tan 30° + tan 30°.
- 14.Write down the exact value of tan 45°.
- 15.Write down the exact value of tan 60°.
Build your own mix at the worksheet builder.