Trigonometry: sine rule — KCSE Mathematics
KCSE Mathematics · 100 practice questions · 3 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
State the sine rule: a/sin A = b/sin B = c/sin C, and identify when to apply it (given AAS, ASA or SSA)
Apply the sine rule to find unknown sides and angles in non-right-angled triangles; handle the ambiguous case
Trigonometry: sine rule
Sample Questions
Try 3 questions free. Sign up to access all 100 questions with full marking schemes.
State the steps to find the length of side c in triangle XYZ, where angle X = 45°, angle Y = 60°, and side y = 9 cm. Justify whether the sine rule can be applied in this scenario. (4 marks)
View Marking Scheme
Explain how to determine the angle opposite side a in triangle ABC, where side a = 8 cm, side b = 10 cm, and angle B = 30°. Discuss if there is a possibility of more than one solution for angle A. (3 marks)
View Marking Scheme
State the sine rule and identify two specific cases where it can be applied in triangle XYZ. (4 marks)
View Marking Scheme
Why Practise Trigonometry: sine rule?
KNEC Aligned
Questions match the KCSE syllabus objectives and exam format exactly.
Detailed Marking Schemes
Every answer shows exactly what examiners award marks for.
Track Your Mastery
See your score improve as you practise and identify remaining gaps.