已知2sin²a+2sinacosa/1+tana=k(0

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已知2sin²a+2sinacosa/1+tana=k(0

2sin²a+2sinacosa/1+tana
=2sina(sina+cosa)/[(sina+cosa)/cosa]
=2sinacosa
k=2sinacosa
(sina-cosa)^2=1+k
sina-cosa=±√(1+k)

已知2sin²a+2sinacosa/1+tana=k(0