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SQA Higher Maths Sine

Sine

This page covers the following topics:

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

Sine of an angle is a ratio between the side opposite to the angle and the hypotenuse of a triangle.

Sine

Sine is one of three trigonometric functions of an angle.

Values and applications

sin(x) is calculated by calculating the ratio of two sides of a right-angled triangle, the opposite and the hypotenuse.

Right-angled traingles

The diagram shows a sine graph.

Sine graphs and transformations

1

Find the value of sin(A) by using the triangle shown.

Find the value of sin(A) by using the triangle shown.

2

Find sinB if b = 5 and c = 25.

Find sinB if b = 5 and c = 25.

3

Write down the coordinates of point A on the sine graph.

Write down the coordinates of point A on the sine graph.

4

Use your calculator to find the value of sin(60ΒΊ).

Use your calculator to find the value of sin(60ΒΊ).

5

Which side of the triangle shown is the opposite?

Which side of the triangle shown is the opposite?

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