Analysis & Approaches HL · Topic 3 · Geometry & Trigonometry

IB Math AA HL Inverse and Reciprocal Trigonometric Functions Worksheet (with full solutions)

Arcsin, arccos and arctan, their domains and graphs, and the reciprocal functions sec, cosec and cot.

24 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches HL students.

24pages
120marks
3difficulty levels
Yessolutions included
T3Geometry & Trigonometry

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What this AA HL inverse and reciprocal trigonometric functions worksheet covers

Arcsin, arccos and arctan, their domains and graphs, and the reciprocal functions sec, cosec and cot. The questions follow the order of the AA 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.

Domains and ranges of inverse trigonometric functions
Graphs of arcsin, arccos and arctan
sec, cosec and cot: definitions, graphs and identities
Solving equations involving reciprocal functions
Exam tip for this topic. Remember the restricted domain when writing an inverse — arcsin returns values in [−π/2, π/2] only.

Preview

How to use it

  1. Do the first band without the AA 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 AA HL worksheets on Geometry & Trigonometry

✓ = solutions included

Questions

Is this AA HL inverse and reciprocal trigonometric functions 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: Analysis and Approaches 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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