15

Contents:

A Labelling sides of a right angled

triangle [8.1]

B The trigonometric ratios [8.1]

C Problem solving [8.1]

D [8.2]

E True bearings [8.7]

F 3-dimensional problem solving [8.7]

Opening problem

#endboxedheading

For safety reasons, ramps for aiding wheelchair access must not have an angle of inclineμexceeding

5 o.

A ramp outside a post office was found to be 5 : 6 m long, with a vertical rise of 50 cm. Does this ramp

comply with the safety regulations?

Trigonometryis a branch of mathematics that deals with triangles. In particular, it considers the relationship

between their side lengths and angles.

We can apply trigonometry in engineering, astronomy, architecture, navigation, surveying, the building

industry, and in many other branches of applied science.

Trigonometry

We can see in the there is a right angled triangle to consider. The trigonometry of right

angled triangles will be discussed in this chapter and the principles extended to other triangles in

.

Opening Problem

Chapter 29

50 cm

5.6 m

q

The first quadrant of the unit circle

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y:\HAESE\IGCSE01\IG01_15\313IGCSE01_15.CDR Wednesday, 8 October 2008 9:29:36 AM PETER