已知(sinα-2cosα)/(3sinα+5cosα)=-5,求sinα^2+3sinα×cosα-1的值

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已知(sinα-2cosα)/(3sinα+5cosα)=-5,求sinα^2+3sinα×cosα-1的值

已知(sinα-2cosα)/(3sinα+5cosα)=-5,求sinα^2+3sinα×cosα-1的值
已知(sinα-2cosα)/(3sinα+5cosα)=-5,求sinα^2+3sinα×cosα-1的值

已知(sinα-2cosα)/(3sinα+5cosα)=-5,求sinα^2+3sinα×cosα-1的值
(tana-2)/(3tana+5)=-5
tana-2=-15tana-25
16tana=-23
tana=-23/16
(sina)^2+3sinacosa-1
=[3sinacosa-(cosa)^2]/[(sina)^2+(cosa)^2]
=[3tana-1]/[(tana)^2+1]
=(-69/16-1)/(529/256+1)
=-(85/16)/(785/256)
=-1360/785
=-272/157

(sinα-2cosα)/(3sinα+5cosα)=-5
sinα-2cosα=-15sinα-25cosα
16sinα+23cosα=0
tanα=-23/16
(sinα)^2+3sinα×cosα-1
= 529/785 - 3(23)(16)/785 -1
=-1360/7853sinα+4cosα呢?case 1: sinα = 23...

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(sinα-2cosα)/(3sinα+5cosα)=-5
sinα-2cosα=-15sinα-25cosα
16sinα+23cosα=0
tanα=-23/16
(sinα)^2+3sinα×cosα-1
= 529/785 - 3(23)(16)/785 -1
=-1360/785

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