2025 IGCSE Additional Mathematics May/June 0606/22 Q9

2025 IGCSE Additional Mathematics May/June 0606/22 Q9

10 marks
  1. Solve the equation \(3\sec3x=\sqrt3\operatorname{cosec}3x\) for \(-120^\circ\le x\le120^\circ\).[5]
  2. Solve the equation \(2\cos\left(y+\dfrac\pi3\right)\sin\left(y+\dfrac\pi3\right)=\sin\left(y+\dfrac\pi3\right)\) for \(0\le y<2\pi\).[5]

Solution:

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Answer:(a) \(x=-110^\circ,-50^\circ,10^\circ,70^\circ\) (b) \(y=0,\dfrac{2\pi}3,\dfrac{4\pi}3,\dfrac{5\pi}3\)

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