Unit 3: Geometry and Trigonometry
Topic 3.6: Trigonometric Identities Questions
Practice 14 exam-style questions for IB Math AA SL Topic 3.6. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Find2 marks
2026• Aimnova practice — 3.6.1
Given sin θ = 4/5 and θ is acute, find the exact value of cos θ.
Markscheme and model answer locked
Unlock Question2Simplify1 mark
2026• Aimnova practice — 3.6.1
Simplify sin²θ + cos²θ + 3.
Markscheme and model answer locked
Unlock Question3Find2 marks
2026• Aimnova practice — 3.6.2
Given sin θ = 5/13 and cos θ = 12/13, find sin 2θ.
Markscheme and model answer locked
Unlock Question4Simplify2 marks
2026• Aimnova practice — 3.6.1
Simplify the expression 5 − 5cos²θ.
Markscheme and model answer locked
Unlock Question5Find3 marks
2026• Aimnova practice — 3.6.1
Given that sin θ = 5/13 and 90° < θ < 180°, find the exact value of cos θ.
Markscheme and model answer locked
Unlock Question6Find2 marks
2026• Aimnova practice — 3.6.2
Given sin θ = 1/3, find cos 2θ.
Markscheme and model answer locked
Unlock Question7Find2 marks
2026• Aimnova practice — 3.6.2
Given that sin 2θ = 0.6, find the value of 4 sin θ cos θ.
Markscheme and model answer locked
Unlock Question8Find2 marks
2026• Aimnova practice — 3.6.2
Given sin θ = 2/3 and θ is obtuse, find the exact value of cos 2θ.
Markscheme and model answer locked
Unlock Question9Find3 marks
2026• Aimnova practice — 3.6.2
Given cos θ = 3/5 and θ is acute, find the exact values of (a) sin 2θ and (b) cos 2θ.
Markscheme and model answer locked
Unlock Question10Show3 marks
2026• Aimnova practice — 3.6.1
Show that (sin θ)/(1 − cos²θ) = 1/sin θ, for sin θ ≠ 0.
Markscheme and model answer locked
Unlock Question11Show2 marks
2026• Aimnova practice — 3.6.1
Show that cos²θ − 1 = −sin²θ.
Markscheme and model answer locked
Unlock Question12Show3 marks
2026• Aimnova practice — 3.6.2
Show that cos⁴θ − sin⁴θ = cos 2θ.
Markscheme and model answer locked
Unlock Question13Show2 marks
2026• Aimnova practice — 3.6.2
Show that 2 sin θ cos θ + 1 − 2sin²θ = sin 2θ + cos 2θ.
Markscheme and model answer locked
Unlock Question14Find2 marks
2026• Aimnova practice — 3.6.1
Given cos θ = 1/4 and θ is acute, find the exact value of sin θ.
Markscheme and model answer locked
Unlock QuestionReady to practice Topic 3.6?
Get instant AI feedback on your answers, view detailed markschemes, and track your progress across all IB Math AA SL topics.