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