k=(2sin^2a+sin2a)/(1+tana) 则sin(a-3.14/4)的值
人气:133 ℃ 时间:2020-03-30 01:02:06
解答
k=(2sin^2a+sin2a)/(1+tana)
=2sinacosa(sina+cosa)/(cosa+sina)
=2sinacosa=sin2x≤1
1-k=1-2sinacosa
sina-cosa=±√(1-k)
sin(a-∏/4)
=√2/2(sina-cosa)
==±√[2(1-k)]/2
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