已知f(α)=(sin(Π/2-α)cos(2Π-α)tan(-α+3Π))/(tan(Π+α)sin(Π/2+α)),化简f(α)

问题描述:

已知f(α)=(sin(Π/2-α)cos(2Π-α)tan(-α+3Π))/(tan(Π+α)sin(Π/2+α)),化简f(α)

f(α)=(sin(Π/2-α)cos(2Π-α)tan(-α+3Π))/(tan(Π+α)sin(Π/2+α))
=-cos(α)cos(α)tan(α)/(tan(α)cos(α))
=-cos(α)