Доказать cos(3/2П+t)=sin t

Question

Доказать cos(3/2П+t)=sin t

Answer 1

Cos(α+β)=cosα*cosβ-sinα*sinβ  косинус суммы двух аргументов.

cos(3π/2+t)=cos(3π/2)*cost-sin(3π/2)*sint=0*cost-(-1)*sint=0+sint=sint
sint=sint