Unit 3: Geometry and Trigonometry

Topic 3.10: Compound angles (HL only) Questions

Practice 13 exam-style questions for IB Math AA SL Topic 3.10. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

11 mark
2026
sin(A − B) expands to:
Markscheme and model answer locked
Unlock Question
21 mark
2026
cos A cos B − sin A sin B is a single cosine of:
Markscheme and model answer locked
Unlock Question
31 mark
2026
To find the exact value of sin 15°, the best split is:
Markscheme and model answer locked
Unlock Question
41 mark
2026
tan 2A = 2 tan A/(1 − tan²A) is obtained from tan(A + B) by:
Markscheme and model answer locked
Unlock Question
5Prove3 marks
2026
Prove that tan(x − π/4) = (tan x − 1)/(tan x + 1).
Markscheme and model answer locked
Unlock Question
6Find2 marks
2026
Find the exact value of cos 75°.
Markscheme and model answer locked
Unlock Question
7Show that2 marks
2026
Show that .
Markscheme and model answer locked
Unlock Question
8Find2 marks
2026
Given tan θ = 3/4, find tan 2θ.
Markscheme and model answer locked
Unlock Question
9Find2 marks
2026
Find the exact value of sin 15°.
Markscheme and model answer locked
Unlock Question
101 mark
2026
The value of tan 105° (= tan(60° + 45°)) is:
Markscheme and model answer locked
Unlock Question
11Find3 marks
2026
Angles A and B are acute with sin A = 3/5 and cos B = 5/13. Find the exact value of sin(A + B).
Markscheme and model answer locked
Unlock Question
12Show that5 marks
2026
Show that .
Markscheme and model answer locked
Unlock Question
13Solve4 marks
2026
Solve cos(x − π/3) = sin x for 0 ≤ x ≤ 2π.
Markscheme and model answer locked
Unlock Question

Ready to practice Topic 3.10?

Get instant AI feedback on your answers, view detailed markschemes, and track your progress across all IB Math AA SL topics.