2025 JVSS PRELIMS P2 Q4

2025 JVSS PRELIMS P2 Q4

Secondary 4
6 marks
2025 Jurongville Secondary School Prelims A Math Paper 2
  1. Prove that \(\cot(45^\circ - x)=\frac{\cot x+1}{\cot x-1}\).[3]
  2. Hence express \(\cot 15^\circ\) in the form \(p+q\sqrt{3}\), where \(p\) and \(q\) are integers.[3]

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Answer:(a) \(\cot(45^\circ-x)=\dfrac{\cot x+1}{\cot x-1}\) shown (b) \(\cot15^\circ=2+\sqrt3\)

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