2022 BTYSS P2 Q4

2022 BTYSS P2 Q4

Secondary 4
8 marks
  1. Prove that \(\dfrac1{\sin x+1}-\dfrac1{\sin x-1}=2\sec^2x\).[3]
  2. Hence solve the equation \(\dfrac1{\sin2x+1}-\dfrac1{\sin2x-1}=3\) for \(0<x<\pi\).[5]

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Answer:(a) Identity proved. (b) \(x=0.308,1.26,1.88,2.83\) radians (3 s.f.).

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