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1 markTrigonometric Functions, Identities and Equations

CAPE Pure Mathematics Unit 1 · May/June 2007 · Paper 2 · Question 4(b)(i)

In the triangle shown below (not drawn to scale), sin q = 3/5 and cos p = 5/13. (Refer to Figure 2).

Determine the exact value of cos q.

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Other parts of this question

  1. 4(a)(i)Prove that cos 2θ = (1 - tan^2 θ) / (1 + tan^2 θ).[4 marks]
  2. 4(a)(ii)Hence, show, without using calculators, that tan 67.5° = 1 + √2.[7 marks]
  3. 4(b)(ii)Determine the exact value of sin p.[1 mark]
  4. 4(b)(iii)Determine the exact value of sin r.[3 marks]
  5. 4(b)(iv)Determine the exact value of cos (p + t).[4 marks]

More practice: the rest of this paper · more Trigonometric Functions, Identities and Equations questions · all CAPE Pure Mathematics Unit 1 past papers