2025 IGCSE Additional Mathematics May/June 0606/22 Q4

2025 IGCSE Additional Mathematics May/June 0606/22 Q4

9 marks
  1. Given that \(y=4\sin2x\cos2x\), find the value of \(\dfrac{\mathrm dy}{\mathrm dx}\) when \(x=\dfrac\pi6\).[4]
  2. A curve has equation \(y=4\sin2x\cos2x\).
    The normal to the curve at the point where \(x=\dfrac\pi6\) meets the \(x\)-axis at the point \(P\).
    Find the exact coordinates of \(P\).[5]

Solution:

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Answer:(a) \(-4\) (b) \(\left(\dfrac\pi6-4\sqrt3,0\right)\)

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