2023 KSS P1 Q11

2023 KSS P1 Q11

Secondary 4
6 marks
  1. Prove that \(\dfrac{\sin2x}{1+\cos2x}=\tan x\).[3]
  2. Hence or otherwise, solve the equation \(\dfrac{\sin2x}{1+\cos2x}=2\) for \(0\le x\le2\pi\).[3]

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Answer:(i) Proved. (ii) \(x=1.11,4.25\) radians (3 s.f.).

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