ECZ 2021 · GCE Paper 1 — Trigonometry

The diagram shows triangle ABC in which AB = 5cm and AC = 13cm. Angle ABC = 90° and BC is produced to D. Find the value of cos ACD.

Diagram for ECZ 2021 · GCE Paper 1
  • A. 1213
  • B. −1213
  • C. −513
  • D. 512

Verified working — step 1

Angle ACD sits on the straight line BCD, outside the triangle - solve the triangle first, then use the supplementary rule for cosine.

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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