ECZ 2017 · O-Level Paper 1 — Trigonometry

Triangle PQR is right-angled at R, with QR = 4 cm and tan(angle QPR) = 43. Find sin(angle PQR).

Diagram for ECZ 2017 · O-Level Paper 1
  • A. 45
  • B. 35
  • C. 43
  • D. 34

Verified working — step 1

From tan P = 43with QR = 4, the adjacent side PR = 3, so the hypotenuse PQ = √(3² + 4²) = 5. At Q the opposite side is PR = 3, so sin(angle PQR) = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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