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数学
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sina-cosa=1/2,则cos^3a-sin^3a=?
人气:369 ℃ 时间:2020-01-30 11:28:58
解答
sina-cosa=1/2,
两边平方:
1-2sinacosa=1/4
sinacosa=3/8
(sina)^3-(cosa)^3
=(sina-cosa)(sin^2 a+sinacosa+cos^2 a)
=(sina-cosa)(1+sinacosa)
=(1/2)(1+3/8)
=11/16
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