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化简:根号(1-2sin100°cos280°)/{cos370°-根号[1-cos^2(170°)]}
人气:190 ℃ 时间:2020-04-07 05:13:46
解答
sinαcosβ = [sin(α+β)+sin(α-β)]/2所以sin100cos280 = [sin(α+)+sin(α-β)]/2=sin20/2根号(1-2sin100°cos280°)=根号(1-sin20)=根号(1-2sin10cos10)=cos10-sin10根号[1-cos^2(170°)]=sin(170°)=cos(80°)...
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