2025 CGS PRELIMS P1 Q8

2025 CGS PRELIMS P1 Q8

Secondary 4
7 marks
2025 Crescent Girls' School Prelims A Math Paper 1
  1. Prove the identity \(\frac{\sin \theta}{1+\cos \theta}=\tan \frac{\theta}{2}\).[3]
  2. Hence solve the equation \(\frac{1+\cos \theta}{\sin \theta}=-3\) for \(0^\circ \leq \theta \leq 360^\circ\).[4]

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Answer:(a) \(\displaystyle \frac{\sin\theta}{1+\cos\theta}=\tan\frac{\theta}{2}\) (b) \(\displaystyle \theta=323.1^\circ\)

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