tanα=-1/2则 1+2sinαcosα/sin^α-cos^α的值是

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tanα=-1/2则1+2sinαcosα/sin^α-cos^α的值是tanα=-1/2则1+2sinαcosα/sin^α-cos^α的值是tanα=-1/2则1+2sinαcosα/sin^α-

tanα=-1/2则 1+2sinαcosα/sin^α-cos^α的值是
tanα=-1/2
则 1+2sinαcosα/sin^α-cos^α的值是

tanα=-1/2则 1+2sinαcosα/sin^α-cos^α的值是
(1+2sinαcosα)/(sin^α-cos^α)
分子分母都除以(cosa)^2,得
上式=[1+(tana)^2+2tana]/[(tana)^2-1]
=[1+1/4-1]/[1/4-1]
=-1/3.