已知2sin^α+sin2α/1+tanα=k(π/4

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已知2sin^α+sin2α/1+tanα=k(π/4已知2sin^α+sin2α/1+tanα=k(π/4已知2sin^α+sin2α/1+tanα=k(π/4(2sin^2α+2sinα*cosα

已知2sin^α+sin2α/1+tanα=k(π/4
已知2sin^α+sin2α/1+tanα=k(π/4

已知2sin^α+sin2α/1+tanα=k(π/4
(2sin^2 α+2sinα*cosα)/(1+tanα)=k
(2sin^2 α+2sinα*cosα)/(1+tanα)=2sinacosa(sina+cosa)/(sina+cosa)=2sinacosa=k
(sinα-cosα)^2=1-2sinacosa=1-k
sinα-cosα=±√(1-k)