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