IB Math AA HL Unit 3: Geometry & Trigonometry

IB Maths AA HL Unit 3: Geometry and Trigonometry, topic by topic

Each topic in this unit has a free page with step-by-step worked examples and the key formulas, then exam-style questions with mark schemes.

• Planes questions47 questions · 3 worked examples
• Reciprocal and Inverse Trig Functions questions58 questions · 3 worked examples
• Vector Lines questions53 questions · 3 worked examples

Learn it first: AA HL Unit 3 notes

• Compound and double-angle formulas
• Trigonometric equations
• 3D vectors
• Lines and planes in 3D
• Vector proofs and geometric arguments

Where marks go in AA HL Unit 3

From the IB subject reports we summarise on AA HL Examiner Insights, in our own words:

• Trigonometric equations: missing solutions (obtuse, general or divided away). Sketch the function over the whole interval and count intersections before solving. Factorise rather than divide by a trig function (dividing loses the solutions where it is zero).
• Vectors: skew lines without the non-parallel check, and planes. Skew = not parallel (directions not multiples) AND no intersection (the three component equations are inconsistent). State both. Set the working out in columns and check the third equation.
• GDC in degree mode for calculus. Radians for anything involving calculus, trig models or arc/sector formulas. Check the mode at the start of every Paper 2 question with trig in it.

The questions here are original, written in the style of IB papers with IB-style mark schemes; for real papers see the IB Maths AA HL past papers page.

FAQ

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