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Year 12 Maths Extension 1 Trig Equations

t Formulae Method

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Questions
Question 1
21411

By writing and equivalent equation in \(t\) \((t = \tan \dfrac{x}{2})\), for the domain \(0^\circ < x < 360^\circ \), solve \(5\sin x - 5\cos x = 1\)

\(x = 53^\circ 8'\), \(x = 216^\circ 52'\)

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