2025 IGCSE Additional Mathematics October/November 0606/12 Q13

4 marks

For \(-1\le x\le1\) it is given that \(x=2-3\sin\theta\) and \(y=3\cot^2\theta\).

Find \(y\) in terms of \(x\).[4]

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Answer:\(y=\dfrac{27}{(2-x)^2}-3\)

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