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SQA National 5 Maths Sine

Sine

This page covers the following topics:

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

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Find a if sinA = 0.5 and c = 8.

SQA National 5 Maths Sine Find a if sinA = 0.5 and c = 8.
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2

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Find sinB if b = 0.5 m and c = 3 m.

SQA National 5 Maths Sine Find sinB if b = 0.5 m and c = 3 m.
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3

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

SQA National 5 Maths Sine Use your calculator to find the value of sin(0ΒΊ).
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4

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

SQA National 5 Maths Sine sin(xΒΊ) = 1. Given xΒΊ 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 sin(60ΒΊ).

SQA National 5 Maths Sine Use your calculator to find the value of sin(60ΒΊ).
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6

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Give the equation / ratio used to find the value of sin x.

SQA National 5 Maths Sine Give the equation / ratio used to find the value of sin x.
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7

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If x is an angle in a triangle with opposite = 3 and hypotenuse = 5, what is the value of sin(x)?

SQA National 5 Maths Sine If x is an angle in a triangle with opposite = 3 and hypotenuse = 5, what is the value of sin(x)?
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8

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

SQA National 5 Maths Sine A triangle has hypotenuse of 15, opposite side of 12 and adjacent side of 9. What is the value of sin 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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The sine graph crosses the y axis at what point?

SQA National 5 Maths Sine The sine graph crosses the y axis at what point?
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10

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

SQA National 5 Maths Sine Write down the coordinates of point B on the sine graph.
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