2024 ACS(BR) P2 Q5

2024 ACS(BR) P2 Q5

Secondary 4
8 marks

Do not use a calculator in this question.

  1. Express \(\sin22.5^\circ\) in the form of \(\dfrac{\sqrt{a-\sqrt a}}a\), where \(a\) is an integer.[3]
  2. Show that \(\tan15^\circ=2-\sqrt3\).[5]

Solution:

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Answer:(a) \(\dfrac{\sqrt{2-\sqrt2}}2\), with \(a=2\). (b) \(2-\sqrt3\).

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