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4 marksArc Length and Sector Area Formulae

CSEC Additional Mathematics · 2018 · Paper 2 · Question 4(a)

A wire in the form of a circle with radius 4 cm is reshaped into a sector of a circle with radius 10 cm.

Determine, in radians, the angle of the sector, giving your answer in terms of pi.

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Other parts of this question

  1. 4(b)Solve the equation sin^2(theta) + 3 cos(2*theta) = 2 for 0 <= theta <= pi. Give your answer(s) to 1 decimal place.[4 marks]
  2. 4(c)Prove the identity 1/(1 - sin x) - 1/(1 + sin x) = 2 tan x / cos x.[4 marks]

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