Trigonometric equation reduced to a quadratic in sine using a double-angle formula

IB Year 6 | Grade 12

5 marks

Solve the equation \(\cos2x=2-3\sin x\) for \(0\le x\le2\pi\).[5]

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Answer:\(x=\frac\pi6,\ \frac\pi2,\ \frac{5\pi}6\)

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