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4 marksCompound-Angle Formulae

CSEC Additional Mathematics · 2017 · Paper 2 · Question 4(b)

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

Show without using a calculator that cos(π/4 - π/3) / sin(2π/3) = (√2 + √6) / (2√3).

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Other parts of this question

  1. 4(a)(i)If the building space is 50π/3 m², calculate the angle ACB in radians.[1 mark]
  2. 4(a)(ii)Working in radians, calculate the area used for farming.[4 marks]
  3. 4(c)Prove the identity 1 - cos²θ / (1 + sinθ) = sinθ.[3 marks]

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