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TrigonometryEasySum, Difference, and Multiple-Angle Formulas

Sum, Difference, and Multiple-Angle Formulas · Easy problem

Given sin⁡θ=35\sin\theta=\tfrac35 and cos⁡θ=45\cos\theta=\tfrac45, find sin⁡2θ\sin 2\theta.

Express your answer as a common fraction.