2024 IGCSE Additional Mathematics October/November 0606/11 Q12

2024 IGCSE Additional Mathematics October/November 0606/11 Q12

12 marks
  1. Solve the equation \(2\operatorname{cosec}^2\theta-5=5\cot\theta\) for \(-180^\circ\leq\theta\leq180^\circ\).[7]
  2. Solve the equation \(3\sin(2\phi+1.5)=2\) for \(0<\phi<5\), where \(\phi\) is in radians.[5]

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Answer:(a) \(\theta=-161.6^\circ,-63.4^\circ,18.4^\circ,116.6^\circ\). (b) \(\phi=0.456,2.76,3.60\) radians.

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