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AQA A-level Maths Cosine

Cosine

This page covers the following topics:

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

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Find b if cosA = 0.5 and c = 10.8.

AQA A-level Maths Cosine Find b if cosA = 0.5 and c = 10.8.
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2

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Find cosA if b = 3.5 cm and c = 14 cm.

AQA A-level Maths Cosine Find cosA if b = 3.5 cm and c = 14 cm.
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3

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Use your calculator to find the value of cos(0).

AQA A-level Maths Cosine Use your calculator to find the value of cos(0).
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4

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cos(xΒΊ) = 1. Given x is an angle in a triangle, what is the value of x?

AQA A-level Maths Cosine cos(xΒΊ) = 1. Given x is an angle in a triangle, what is the value of x?
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5

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Use your calculator to find the value of cos(80ΒΊ).

AQA A-level Maths Cosine Use your calculator to find the value of cos(80ΒΊ).
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6

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Give the equation / ratio used to find the value of cos(x).

AQA A-level Maths Cosine Give the equation / ratio used to find the value of cos(x).
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7

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If x is an angle in a triangle with adjacent = 4 and hypotenuse = 5, what is the value of cos(x)?

AQA A-level Maths Cosine If x is an angle in a triangle with adjacent = 4 and hypotenuse = 5, what is the value of cos(x)?
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8

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A triangle has hypotenuse 15, opposite 12 and adjacent 9. What is the value of cos x where x is the angle in the triangle, and hence what is the value of x?

AQA A-level Maths Cosine A triangle has hypotenuse 15, opposite 12 and adjacent 9. What is the value of cos x where x is the angle in the triangle, and hence what is the value of x?
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9

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Provide the point at which a cosine graph crosses the y axis.

AQA A-level Maths Cosine Provide the point at which a cosine graph crosses the y axis.
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10

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

AQA A-level Maths Cosine Write down the coordinates of point B on the cosine graph.
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