化简sin(540°+α)cos(360°-α)/sin(450°+α)cos (900°-α)

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化简sin(540°+α)cos(360°-α)/sin(450°+α)cos (900°-α)
化简sin(540°+α)cos(360°-α)/sin(450°+α)cos (900°-α)

化简sin(540°+α)cos(360°-α)/sin(450°+α)cos (900°-α)
sin(540°+α)cos(360°-α)/sin(450°+α)cos (900°-α)=-sinacosa/(-cosacosa)=tana

sin(540°+α)cos(360°-α)/sin(450°+α)cos (900°-α)
=sin(540°+α)cos(360°-α)/sin(450°+α)cos (900°-α)
=sin(3π+α)cos(2π-α)/sin(3π/2+α)cos (5π-α)
= -sinαcosα/-cos α*(-cos α)
=-tanα