ECZ 2020 · O-Level Paper 1 — Trigonometry

The diagram below shows triangle ABC in which angle ABC = 90°. BC is produced to D. Given that tan(angle BAC) = 43, find the value of cos(angle ACD).

Diagram for ECZ 2020 · O-Level Paper 1
  • A. -45
  • B. 45
  • C. -35
  • D. 35

Verified working — step 1

Build the 3-4-5 triangle from the tangent, then handle the straight line: angle ACD is the SUPPLEMENT of angle ACB.

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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