Applications & Interpretation HL · Topic 3 · Geometry & Trigonometry

IB Math AI HL Trigonometric Identities and Equations Worksheet (with full solutions)

Identities, double angles and solving trigonometric equations in applied contexts.

26 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Applications and Interpretation HL students.

26pages
120marks
3difficulty levels
Yessolutions included
T3Geometry & Trigonometry

Download the AI HL Trigonometric Identities and Equations worksheet (PDF) ↓   All AI HL worksheets →

What this AI HL trigonometric identities and equations worksheet covers

Identities, double angles and solving trigonometric equations in applied contexts. The questions follow the order of the AI HL syllabus for Topic 3 (Geometry & Trigonometry) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Pythagorean identity and tan = sin/cos
Double-angle formulas
Solving equations over a given interval
Using identities to simplify expressions
Exam tip for this topic. Convert everything to sin and cos when stuck — it works more often than any other identity trick.

Preview

How to use it

  1. Do the first band without the AI HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AI HL worksheets on Geometry & Trigonometry

✓ = solutions included

Questions

Is this AI HL trigonometric identities and equations worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Applications and Interpretation HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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