2024 IGCSE Additional Mathematics May/June 0606/11 Q8

2024 IGCSE Additional Mathematics May/June 0606/11 Q8

5 marks

Solve the equation \(4\sin^2\left(2\alpha-\dfrac\pi3\right)=1\) for \(-\dfrac\pi2\leq\alpha\leq\dfrac\pi2\). Give your answers in terms of \(\pi\).[5]

Solution:

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Answer:\(\alpha=-\dfrac{5\pi}{12},-\dfrac\pi4,\dfrac\pi{12},\dfrac\pi4\)

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