HSC Together Year 12 Maths Extension 1: Further Trigonometry: Sum and Difference of Angles

#### Maths Extension 1

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# Further Trigonometry: Sum and Difference of Angles

This topic is part of the HSC Mathematics Extension 1 syllabus under the topic Trigonometric Functions.

In this post, we will explore further trigonometric techniques on how to solve trigonometric equations requiring factorising and/or the application of compound angle and double angle formulae. The formulae for these are the following:

sin(A+B) = sin(A)cos(B) + sin(B)cos(A) sin(A-B) = sin(A)cos(B) - sin(B)cos(A) cos(A+B) = cos(A)cos(B) - sin(A)sin(B) cos(A-B) = cos(A)cos(B) + sin(A)sin(B)

These further trigonometric techniques can be found in the following video.

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