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 the auxiliary angle formulae.

Auxilary angles take the following forms

R sin( \theta \pm \phi) = R (sin(\theta)cos(\phi) \pm sin(\phi)cos(\theta))Now we can explore what the auxiliary angle is.

### What is the Auxilary Angle

### How the auxiliary angle is connected to trigonometric expressions

### How to find the amplitude (R)

### How to find the phase phi