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4 marksConstructing Lines, Angles, and Polygons

CSEC Mathematics · Question 3(a)

This question involves geometric constructions and trigonometry.

Using a ruler, a pencil and a pair of compasses, construct the right-angled triangle ABC, such that AB = 5 cm, ∠ABC = 90° and ∠BAC = 60°.

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Other parts of this question

  1. 3(b)(i)a)Using the diagram, express c in terms of a and b.[1 mark]
  2. 3(b)(i)b)Write, in terms of a, b and c, an expression for sin θ + cos θ.[2 marks]
  3. 3(b)(ii)Using the results from (i) a) and b) on page 12, show that (sin θ)² + (cos θ)² = 1.[2 marks]

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