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3 marksTrigonometric Functions, Identities and Equations

CAPE Pure Mathematics Unit 1 · May/June 2002 · Paper 2 · Question 2(b)(iii)

In triangle ABC, angle ACB = 90° and D is a point on BC such that angle ABD = angle BAD = θ. Given that BD = 5 cm and AB = 8 cm.

Find the length of BC.

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Other parts of this question

  1. 2(a)If t = tan (θ/2), express cos θ and sin θ in terms of t. Hence, find tan (θ/2) when cos θ + 2 sin θ = 11/5.[13 marks]
  2. 2(b)(i)Find cos θ.[3 marks]
  3. 2(b)(ii)Find sin θ.[3 marks]
  4. 2(b)(iv)Find the length of AC.[3 marks]

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