Applications & Interpretation HL · Topic 3 · Geometry & Trigonometry

IB Math AI HL Trigonometry Worksheet (with full solutions)

Right-angled and non-right-angled trigonometry: sine and cosine rules, area of a triangle, bearings and 3D problems.

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

21pages
120marks
3difficulty levels
Yessolutions included
T3Geometry & Trigonometry

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What this AI HL trigonometry worksheet covers

Right-angled and non-right-angled trigonometry: sine and cosine rules, area of a triangle, bearings and 3D problems. 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.

SOH CAH TOA in context
Sine rule including the ambiguous case
Cosine rule and the area formula ½ab sin C
Bearings and angles of elevation
Exam tip for this topic. For the sine rule, check whether the obtuse angle also fits the triangle — the ambiguous case is a favourite examiner trap.

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

The same topic for other courses

Questions

Is this AI HL trigonometry 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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