Topic 2 APPLICATIONS OF TRIGONOMETRY

Topic/AOS Overview

This topic includes:

• review of the use of trigonometric ratios for sine, cosine and tangent to find the length of an unknown side or the size of an unknown angle in a right-angled triangle

• application of the trigonometry of right-angled triangles to solve practical problems including the use of angles of elevation and depression, and the use of three figure (true) bearings in navigation • extension of sine and cosine to angles of up to 180°

• area of a triangle using the rule Area = 1 2 ab sin(C)

• the sine rule (including the ambiguous case) and cosine rule (as a generalisation of Pythagoras’ theorem) and their application to solving practical problems requiring the solution of non-right angled triangles

• sets of sufficient information to determine a triangle.

Assessment Tasks Overview

• Mini Tests
• Trigonometry SAC

Learning Goals/Success Criteria

• Trigonometry Chapter 11

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