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
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- 1.Write down the exact value of tan 0°.
- 2.Write down the exact value of sin 45°.
- 3.Work out the exact value of sin 30° + cos 60°.
- 4.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.
- 5.Write down the exact value of tan 60°.
- 6.Write down the exact value of sin 60°.
- 7.Write down the exact value of cos 30°.
- 8.Work out the exact value of cos 0° − sin 30°.
- 9.Work out the exact value of sin 45° × cos 45°.
- 10.Work out the exact value of (sin 30°)² + (cos 30°)².
- 11.Work out the exact value of tan 30° + tan 30°.
- 12.Write down the exact value of cos 45°.
- 13.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.
- 14.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 15.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.
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