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.Write down the exact value of sin 0°.
- 2.Write down the exact value of cos 60°.
- 3.Write down the exact value of cos 45°.
- 4.Put sin 30°, tan 30° and cos 30° in order of size, starting with the smallest.
- 5.A ramp rises at 30° to the horizontal. Its sloping surface is 4.8 m long. Safety rules say the vertical rise of a ramp must be no more than 2.5 m. Work out how far below that limit the rise of this ramp is.
- 6.Work out the exact value of (sin 30°)² + (cos 30°)².
- 7.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.
- 8.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 9.Write down the exact value of sin 60°.
- 10.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
- 11.Write down the exact value of sin 45°.
- 12.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.
- 13.Write down the exact value of tan 45°.
- 14.Work out the exact value of (cos 45°)² + (sin 45°)².
- 15.Write down the exact value of cos 30°.
Build your own mix at the worksheet builder.