Build the picture first
Amplitude, period, shifts, central axis and reconstruction are taught visually so equation solving is connected to the graph rather than memorised separately.
IB MATHEMATICS AA · TOPIC 3 · PREMIUM
Trigonometric Functions & Equations
A complete bridge from the unit circle to demanding IB equations: sine, cosine and tangent graphs; transformations; exact solutions across the full circle; transformed arguments; quadratic identities; graphical/GDC equations; and sinusoidal modelling.
COMPLETE FUNCTIONS & EQUATIONS CHAPTER
See the graph, control the interval, then solve.
The lecture notes retain the full teaching sequence rather than reducing trigonometry to a formula list. Students move from the unit circle and the three master graphs into transformations, exact equations, transformed angles, quadratic structures and modelling. The matching worksheet is different from the lecture-note examples and finishes with demanding archive-style and original CF Maths problems.
Use the whole circle
Exact-value equations, transformed arguments and quadratic trigonometric equations are solved with explicit interval control and complete solution sets.
Translate contexts into sinusoids
Maximum, minimum, period and phase information are turned into sine and cosine models, with calculator guidance when numerical intersections are needed.
40 different worksheet questions
The 19-page worksheet contains independent practice, reconstructed archive-style questions and longer CF Maths Section B investigations.
TOPIC 3 ACCESS
Included in Topic 3 · Geometry & Trigonometry · €50
These Trigonometric Functions & Equations notes and worksheet now sit inside the protected Topic 3 library together with Triangle Trigonometry, Arcs & Sectors, Unit Circle & Double-Angle Identities, and the full HL Trigonometric Identities extension.
Open the complete Topic 3 bundle →NEXT HL STEP
Continue into identities
After the functions-and-equations chapter, move into compound angles, secant, cosecant, cotangent and the full HL identity toolkit.