tana=3,则(2sin^3a+cosa)/(cos^3a-sin^2a×cosa)=
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tana=3,则(2sin^3a+cosa)/(cos^3a-sin^2a×cosa)=
![tana=3,则(2sin^3a+cosa)/(cos^3a-sin^2a×cosa)=](/uploads/image/z/19787569-25-9.jpg?t=tana%3D3%2C%E5%88%99%282sin%5E3a%2Bcosa%29%2F%28cos%5E3a-sin%5E2a%C3%97cosa%29%3D)
原式=[2tanα(sinα)^2+1]/[(cosα)^2-(sinα)^2]
=[6(sinα)^2+(cosα)^2+(sinα)^2]/[cosα)^2-(sinα)^2]
=[7(tanα)^2+1]/[1-(tanα)^2]
=(7×3^2+1)/(1-3^2)
=(63+1)/(1-9)
=-8
=[6(sinα)^2+(cosα)^2+(sinα)^2]/[cosα)^2-(sinα)^2]
=[7(tanα)^2+1]/[1-(tanα)^2]
=(7×3^2+1)/(1-3^2)
=(63+1)/(1-9)
=-8
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