2025 WGS P2 Q10

2025 WGS P2 Q10

Secondary 4
9 marks
  1. Show that \((\operatorname{cosec}2x)(\cos2x+1)=\cot x\).[5]
  2. Hence or otherwise, solve the equation \((\operatorname{cosec}2x)(\cos2x+1)=\sqrt3\) for \(-180^\circ\le x\le180^\circ\).[4]

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Answer:(a) Identity proved on the original domain. (b) \(x=-150^\circ\) or \(30^\circ\).

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