2024 IGCSE Additional Mathematics October/November 0606/23 Q8

2024 IGCSE Additional Mathematics October/November 0606/23 Q8

7 marks
  1. Solve the equation \(\sin4x=\dfrac12\) for \(0\leq x\leq\dfrac\pi4\), giving your answers in terms of \(\pi\).[2]
  2. The diagram shows parts of the graphs of \(y=\sin4x\) and \(y=\dfrac12\).
    Find the exact area of the shaded region enclosed by the curve and the line.[5]

Solution:

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Answer:(a) \(\dfrac\pi{24},\dfrac{5\pi}{24}\). (b) \(\dfrac{\sqrt3}4-\dfrac\pi{12}\) square units.

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