2026 GESS P1 Q11

2026 GESS P1 Q11

Secondary 4
4 marks
  1. Show that \(\sin^2x\cos^2x=k(\sin^22x)\), where \(k\) is a constant. State the value of \(k\).[2]
  2. Hence use the result in (a), differentiate \(\sin^2x\cos^2x\) with respect to \(x\).[2]

Solution:

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Answer:(a) \(k=\dfrac14\). (b) \(\dfrac12\sin4x\).

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