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3 marksCompound-Angle Formulae

CSEC Additional Mathematics · 2012 · Paper 2 · Question 4(b)

Given that sin(π/3) = √3/2, cos(π/3) = 1/2, sin(π/4) = √2/2, and cos(π/4) = √2/2.

Evaluate without using calculators, the exact value of cos(7π/12).

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Other parts of this question

  1. 4(a)(i)Calculate, giving your answer in terms of π, the area of the shape OACMN.[5 marks]
  2. 4(a)(ii)Calculate, giving your answer in terms of π, the perimeter of the shape OACMN.[5 marks]
  3. 4(c)Prove the identity 1 / (sec θ + tan θ) = (1 - sin θ) / cos θ.[4 marks]

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