已知sin(π+α)=-1/2,计算(1)sin(5π-α)..(2)sin(π/2+α)..(3)cos(α-3π/2)..(4)tan(π/2-α)

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已知sin(π+α)=-1/2,计算(1)sin(5π-α)..(2)sin(π/2+α)..(3)cos(α-3π/2)..(4)tan(π/2-α)
已知sin(π+α)=-1/2,计算(1)sin(5π-α)..(2)sin(π/2+α)..(3)cos(α-3π/2)..(4)tan(π/2-α)

已知sin(π+α)=-1/2,计算(1)sin(5π-α)..(2)sin(π/2+α)..(3)cos(α-3π/2)..(4)tan(π/2-α)
sin(π+α)=-1/2 sinα=1/2 cosα=±√3/2
(1)sin(5π-α)=sin(π-α)=sinα=1/2
(2)sin(π/2+α)=cosα=±√3/2
(3)cos(α-3π/2)=cos(3π/2-α)=-sinα=-1/2
(4)tan(π/2-α) =cotα=cosα/sinα=±√3