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4 marksArc Length and Sector Area Formulae

CSEC Additional Mathematics · 2016 · Paper 2 · Question 4(a)

A diagram shows two sectors, AOB and DOC. OB and OC are x cm and (x + 2) cm respectively, and angle AOB = θ. Given θ = 2π/9 radians.

Calculate the area of the shaded region in terms of x.

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Other parts of this question

  1. 4(b)Without the use of a calculator, evaluate cos 105°, in surd form, giving your answer in the simplest terms.[5 marks]
  2. 4(c)Prove that the identity sin(θ + α) / (cos θ cos α) = tan θ + tan α.[3 marks]

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