ECZ 2018 · GCE Paper 1 — Computer and Calculator
In triangle XYZ, the side opposite angle X is x = YZ, the side opposite Y is y = XZ, and the side opposite Z is z = XY. A flow chart computes cos X: Begin → [input] → [process] → Output cos X → End. Which statements correctly complete the input and process boxes?
- A. Enter x, y, z; cos X = y2 + z2 + x22yz
- B. Enter x, y, z; cos X = y2 + z2 − x22yz
- C. Enter x, y, z; cos X = x2 + z2 − y22xz
- D. Enter y, z; cos X = y2 + z2 − x2yz
Verified working — step 1
The cosine rule rearranged for an angle: the side OPPOSITE the wanted angle is the one subtracted, and the two sides forming the angle sit in the denominator.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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