2026 MSHS P1 Q9

2026 MSHS P1 Q9

Secondary 4
7 marks
  1. Prove that \(\dfrac{1+\cos\theta}{\sin\theta}-\dfrac{\sin\theta}{1+\cos\theta}=2\cot\theta\).[4]
  2. Hence solve \(\dfrac{1+\cos\theta}{\sin\theta}-\dfrac{\sin\theta}{1+\cos\theta}=1\) for \(0^\circ<\theta<360^\circ\).[3]

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Answer:(a) Identity proven. (b) \(63.4^\circ,\ 243.4^\circ\).

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