Further Trigonometry

Further Trigonometry explores the algebraic and geometric properties of trigonometric functions and their inverses, with a focus on the unit circle and periodic behavior. This topic involves the formal application of the compound angle, double angle, and t-formula identities to simplify expressions and solve sophisticated trigonometric equations. Students learn to determine the domain and range of inverse trigonometric functions and master the systematic sketching of transformed graphs involving shifts, dilations, and the addition of ordinates.