2025 IGCSE Additional Mathematics May/June 0606/21 Q8

2025 IGCSE Additional Mathematics May/June 0606/21 Q8

9 marks
  1. Solve the equation \((2-3\cot x)\cos x=0\) for \(0<x\le\dfrac\pi2\).[3]
  2. Solve the equation \(2\operatorname{cosec}(2\theta+1)-12\sin(2\theta+1)=5\), where \(\theta\) is in radians and \(-1\le\theta\le2\).[6]

Solution:

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Answer:(a) \(x=0.983\) or \(\dfrac\pi2\) (b) \(\theta=-0.865,-0.374,0.944,1.44\)

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