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_数学解答

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)

人气：227 ℃　时间：2020-06-16 18:48:27

解答

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)