Episode 5 — Trigonometric Compound & Double Angles

Solving Trigonometric Equations Using Compound and Double Angles

Learners will be able to:

• Identify the two categories of trigonometric equations: identities and conditional equations. • Determine the general solution for a trigonometric equation using compound and double angles. • Simplify trigonometric expressions by applying the double angle formula for cos 2x. • Factorise quadratic trigonometric equations to solve for x. • Use inverse trigonometric functions (arc sine, arc cosine) on a scientific calculator or special angles to find solutions for x. • Explain the periodic nature of trigonometric functions and how it affects the number of solutions for an equation.