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Cosine for AQA A-level Maths

Cosine

This page covers the following topics:

1. Cosine
2. Values and applications
3. Right-angled traingles
4. Cosine graphs and transformations

Cosine of an angle is a ratio between the side adjacent to the angle and the hypotenuse of a triangle.

Cosine

Cosine is one of three trigonometric functions of an angle.

Values and applications

cos(x) is found by calculating the ratio of two sides of a right-angled triangle, the adjacent and the hypotenuse.

Right-angled traingles

The diagram shows a cosine graph.

Cosine graphs and transformations

1

Find a if cosB = 0.9 and c = 40.

36

Find a if cosB = 0.9 and c = 40.

2

Find the value of A in the triangle shown.

46.2ยบ

Find the value of A in the triangle shown.

3

Find a if cosB = 0.3 and c = 20 cm.

6 cm

Find a if cosB = 0.3 and c = 20 cm.

4

Find the length of the line p in the triangle shown.

7.4

Find the length of the line p in the triangle shown.

5

Write down the coordinates of point B on the cosine graph.

(270ยบ, 0)

Write down the coordinates of point B on the cosine graph.

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