ECZ 2018 · GCE Paper 1 — Trigonometry
Given a right-angled triangle XYZ where ∠Z is 90° and sin X = 45, find the value of cos X.
- A. 45
- B. 34
- C. 35
- D. 43
Verified working — step 1
sin X = oppositehypotenuse= 45, so the opposite side is 4 and the hypotenuse is 5. By Pythagoras the adjacent side is √(5² − 4²) = √9 = 3. Therefore cos X = adjacenthypotenuse= …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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