已知tanα=-2,则(sin^2 α-3cos^2 α)/( cos^2 α- sin^2 α)=?

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已知tanα=-2,则(sin^2α-3cos^2α)/(cos^2α-sin^2α)=?已知tanα=-2,则(sin^2α-3cos^2α)/(cos^2α-sin^2α)=?已知tanα=-2,

已知tanα=-2,则(sin^2 α-3cos^2 α)/( cos^2 α- sin^2 α)=?
已知tanα=-2,则(sin^2 α-3cos^2 α)/( cos^2 α- sin^2 α)=?

已知tanα=-2,则(sin^2 α-3cos^2 α)/( cos^2 α- sin^2 α)=?


(sin²a-3cos²a)/(cos²a-sin²a)——分子分母同除以cos²a
=(tan²a-3)/(1-tan²a)
=(4-3)/(1-4)
=-1/3

tana=-2, ,
(sin^2 α-3cos^2 α)/( cos^2 α- sin^2 α)
=(tan^2 α-3)/( 1- tan^2 α)
=(4-3)/(1-4)
=-1/3