Extension Trigonometry – Trigonometric functions and equations

This lesson comprises four (4) master classes focusing on:

• Expressions involving compound angles
• Trigonometric equations
• Application of t-formulae

Content:

ME-T3

• Convert expressions of the form \( a \cos x+b \sin x \) to \( R \cos(x \pm \alpha) \) or \( R \sin(x \pm \alpha) \) and apply these to solve equations of the form \( a \cos x+b \sin x=c \), sketch graphs and solve related problems
• Solve trigonometric equations requiring factorising and/or the application of compound angle, double angle formulae or the t-formulae
• Prove and apply other trigonometric identities, for example \( \cos 3x=4 \cos 3x−3 \cos x \)
• Solve trigonometric equations and interpret solutions in context using technology or otherwise