2026 AHS P1 Q10

2026 AHS P1 Q10

Secondary 4
8 marks
  1. Prove that \(\dfrac{\cos\theta}{1-\sin\theta}-\dfrac1{\cos\theta}=\tan\theta\).[4]
  2. Hence solve the equation \(\dfrac{\cos\theta}{1-\sin\theta}-\dfrac1{\cos\theta}=2\sin\theta\) for \(180^\circ\le\theta\le360^\circ\).[4]

Solution:

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Answer:(a) Identity proven for its domain. (b) \(180^\circ,\ 300^\circ,\ 360^\circ\).

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