2025 AISS PRELIMS P1 Q1

2025 AISS PRELIMS P1 Q1

Secondary 4
5 marks
2025 Ahmad Ibrahim Secondary School Prelims A Math Paper 1

It is given that \(P\), \(Q\) and \(R\) are the angles of a triangle.

  1. Show that \(\cos P = -\cos (Q + R)\).[2]
  2. Given that \(Q = 45^\circ\) and \(R = 60^\circ\), find \(\cos P\) in the form \(\frac{1}{4}(\sqrt{a} - \sqrt{b})\), where \(a\) and \(b\) are integers.[3]

Solution:

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Answer:(a) \(\cos P=-\cos(Q+R)\) (b) \(\cos P=\frac14(\sqrt6-\sqrt2)\)

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