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AQA A-level Maths Tangent

Tangent

This page covers the following topics:

Tangent of an angle is a ratio between the side opposite to the angle and the side adjacent to the angle.

Tangent

Tangent is one of three trigonometric functions of an angle.

Values and applications

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

Right-angled triangles

The diagram shows a tangent graph.

Tangent graphs and transformations

1

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Find a if tanA = 1.2 and b = 15.

AQA A-level Maths Tangent Find a if tanA = 1.2 and b = 15.
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2

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Find tanB if a = 0.2 m and b = 1 m.

AQA A-level Maths Tangent Find tanB if a = 0.2 m and b = 1 m.
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3

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

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

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

AQA A-level Maths Tangent tan(xΒΊ) = 1. Given that 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 tan(40ΒΊ).

AQA A-level Maths Tangent Use your calculator to find the value of tan(40ΒΊ).
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6

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

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

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If x is an angle in a triangle with opposite = 3 and adjacent = 6, what is the value of tan x?

AQA A-level Maths Tangent If x is an angle in a triangle with opposite = 3 and adjacent = 6, what is the value of tan x?
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8

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A triangle has hypotenuse 18, opposite 12 and adjacent 6√5. What is the value of tan x where x is the angle in the triangle, and hence what is the value of x?

AQA A-level Maths Tangent A triangle has hypotenuse 18, opposite 12 and adjacent 6√5. What is the value of tan 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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At what point does the tangent graph cross the y axis?

AQA A-level Maths Tangent At what point does the tangent graph cross the y axis?
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10

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Write down the x coordinate of point B on the tangent graph.

AQA A-level Maths Tangent Write down the x coordinate of point B on the tangent graph.
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