The three trigonometric ratios; sine, cosine and tangent are used to calculate angles and lengths in right-angled triangles. The sine and cosine rules calculate lengths and angles in any triangle.

What is the name for the side y in this triangle?

Opposite

Adjacent

Hypotenuse

Which trigonometric ratio should be used to find the length of the adjacent side?

Sin

Cos

Tan

Which trigonometric ratio calculates the sin of x?

Which trigonometric ratio should be used to find the length of y?

Which calculation shows the correct working to find y?

6 × sin 35 = opposite

sin (35 × 6) = opposite

What is the length of y?

10.46 cm

3.44 cm

- 0.5 cm

Which calculation shows the correct working to find the size of angle x?

What is the size of angle x?

33.7°

0.03°

56.3°

What is the name of this trigonometric graph?

y = sin x

y = cos x

y = tan x

What is the trigonometric formula for the area of any triangle?

a^{2} = b^{2} + c^{2} - 2bc cos A