Translate intelligently
Move between sine/cosine, tangent and reciprocal-function language, with clear validity checks whenever a denominator may vanish.
IB MATHEMATICS AA HL · TRIGONOMETRY · NEW
HL Trigonometric Identities
The full Higher Level extension: secant, cosecant and cotangent; reciprocal Pythagorean identities; compound-angle and double-angle identities; exact proofs and equations; and longer synthesis questions that combine identities with the sine rule, cosine rule and triangle area.
HIGHER LEVEL EXTENSION
Keep the earlier trigonometry. Then build the HL layer on top.
This chapter is deliberately cumulative. It keeps the reciprocal-function graphs and proof methods, then develops compound angles, double angles and derived identities before combining them with triangle geometry. Worked solutions show the algebraic decisions line by line rather than jumping directly to the answer.
Derive, do not merely memorise
Build sine, cosine and tangent compound-angle formulae and use them for exact values, proofs and linked equations.
Combine topics
Longer questions connect compound angles with the sine rule, cosine rule and triangle area in genuine Section B style.
40 different questions
The matching worksheet contains archive-style reconstructions, difficult original CF Maths problems and a final investigation, all different from the lecture-note examples.
TOPIC 3 ACCESS
Included in Topic 3 · Geometry & Trigonometry · €50
The new HL identities notes and worksheet are included in the complete Topic 3 protected library alongside Triangle Trigonometry, Arcs & Sectors, Trigonometric Functions & Equations, and Unit Circle & Double-Angle Identities.
Open the complete Topic 3 bundle →IB RESOURCE LIBRARY
Continue the course
Return to the IB Mathematics library to move between Number & Algebra, Functions, Geometry & Trigonometry and Calculus.