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Year 11 (2026) Maths Extension 1 (2026) Further Trigonometry

Auxiliary Angle Method - Solving Equations

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Questions
Question 1
203938

Express \(\sqrt{3}\sin x+\cos x\) in the form \(R\sin(x+\alpha)\), where \(R\gt 0\) and \(0\lt\alpha\lt\dfrac{\pi}{2}\).

\(\sqrt{3}\sin x+\cos x=2\sin\left(x+\dfrac{\pi}{6}\right)\)

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