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.Write down the exact value of cos 60°.
- 2.Work out the exact value of (sin 30°)² + (cos 30°)².
- 3.Write down the exact value of sin 0°.
- 4.Write down the exact value of tan 60°.
- 5.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.
- 6.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 7.Work out the exact value of sin 30° + cos 60°.
- 8.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.
- 9.Write down the exact value of sin 60°.
- 10.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.
- 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.Work out the exact value of tan 30° + tan 30°.
- 13.Write down the exact value of cos 45°.
- 14.Write down the exact value of sin 45°.
- 15.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
Build your own mix at the worksheet builder.