2026 CCHY P1 Q1

2026 CCHY P1 Q1

Secondary 4
7 marks
  1. Prove that \(\dfrac{\cos\theta}{1-\sin\theta}+\dfrac{\cos\theta}{1+\sin\theta}=2\sec\theta\).[3]
  2. Hence, solve the equation \(\dfrac{\cos\theta}{1-\sin\theta}+\dfrac{\cos\theta}{1+\sin\theta}=\tan^2\theta-1\) for \(0<\theta<2\pi\).[4]

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Answer:(a) Identity proved. (b) \(1.20,5.09\) radians.

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