已知2sin^α+sin2α/1+tanα=k(π/4

问题描述:

已知2sin^α+sin2α/1+tanα=k(π/4
1个回答 分类:数学 2014-12-10

问题解答:

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(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)
 
 
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