已知α为第三象限角且f(α)=sin(π-α)cos(2π-α)/cos(π/2+α)(1)化简f(α)(2)若cos(α-3π/2)=1/5,求f(α)的值

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已知α为第三象限角且f(α)=sin(π-α)cos(2π-α)/cos(π/2+α)(1)化简f(α)(2)若cos(α-3π/2)=1/5,求f(α)的值已知α为第三象限角且f(α)=sin(π-

已知α为第三象限角且f(α)=sin(π-α)cos(2π-α)/cos(π/2+α)(1)化简f(α)(2)若cos(α-3π/2)=1/5,求f(α)的值
已知α为第三象限角且f(α)=sin(π-α)cos(2π-α)/cos(π/2+α)
(1)化简f(α)
(2)若cos(α-3π/2)=1/5,求f(α)的值

已知α为第三象限角且f(α)=sin(π-α)cos(2π-α)/cos(π/2+α)(1)化简f(α)(2)若cos(α-3π/2)=1/5,求f(α)的值
(1.)f(α)=sinαcosα/(-sinα)=-cosα
(2.)-sinα=1/5,因为α是第三象限角,所以cosα=2√6/5
f(α)=-2√6/5