¿Por qué?cos⁡2θ+sin⁡2θ=1\cos^2\theta+\sin^2\theta=1
El punto final del círculo unitario es (cos⁡θ;sin⁡θ)(\cos\theta;\sin\theta). Para coordenadas en un círculor=1r=1, Pitágoras da(cos⁡θ)2+(sin⁡θ)2=1.(\cos\theta)^2+(\sin\theta)^2=1.Se acostumbra escribir cos⁡2θ+sin⁡2θ=1\cos^2\theta+\sin^2\theta=1 para todosθ\theta.
La identidad no depende del cuadrante: por cadaθ\thetala suma de cuadrados es11
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