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Skriva om $1 - 2 sin^{2} (v)$ med cosinus för dubbla vinkeln

Cosinus för dubbla vinkeln brukar skrivas som

cos (2 v) = cos^{2} (v) - sin^{2} (v) .

Med hjälp av trigonometriska ettan kan man ta fram ett alternativt sätt att skriva formeln på:

Det här sambandet kan man även använda åt andra hållet för att skriva om

1 - 2 sin^{2} (v) :

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