What is the double angle formulae?

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I need to revise the double angle forumlae for an exam but I´m struggling to get my head around it. Can someone explain it to me? Thanks!
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sin(2θ)=2sinθcosθ cos(2θ)=cos²(θ) - sin²(θ) =1−2sin²(θ) =2cos²(θ)−1 tan(2θ)=2tan(θ) / (1 - tan²(θ))
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