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已知函数f(x)=(sinx-cosx)sin2x/sinx
人气:294 ℃ 时间:2019-08-18 01:21:29
解答
函数f(x)=(sinx一cosx)sin2x/sinx sinx≠0,所以x≠kπ,k∈Z. 函数定义域是{x|x≠kπ,k∈Z}. f(x)=(sinx一cosx)sin2x/sinx =(sinx一cosx)*2sinxcosx/sinx =(sinx一cosx)*2cosx =2sinxcosx-2cos x =sin2x-(1+cos2x) =s...
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