2026 ZHSS P1 Q4

2026 ZHSS P1 Q4

Secondary 4
6 marks
  1. Prove that \(\dfrac{1-\cos2A}{\sin2A}+\dfrac{\sin2A}{1+\cos2A}=2\tan A\).[2]
  2. Hence solve the equation \(\dfrac{1-\cos2A}{\sin2A}+\dfrac{\sin2A}{1+\cos2A}=\dfrac27\cot A\) for \(-90^\circ\le A\le90^\circ\).[4]

Solution:

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Answer:(a) Identity proven on its domain. (b) \(A=-20.7^\circ,\ 20.7^\circ\)

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