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

Sine is one of three trigonometric functions of an angle.

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

The diagram shows a sine graph.

1

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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.

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3

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

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4

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sin(xº) = 1. Given xº 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(60º).

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6

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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)?

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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?

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9

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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.

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