作业帮求证:Sin^2 x / (sinx-cosx) - (sin x + cos x)/(ta
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/07/09 08:36:18
求证:Sin^2 x / (sinx-cosx) - (sin x + cos x)/(ta
求证:Sin^2 x / (sinx-cosx) - (sin x + cos x)/(tan^2-1) = sin x + cos x
求证:Sin^2 x / (sinx-cosx) - (sin x + cos x)/(tan^2-1) = sin x + cos x
原式=sin^2 x/(sinx-cosx)-(sinx+cosx)/(sin^2 x/cos^2 x-1)=sin^2 x/(sinx-cosx)-(sinx+cosx)*cos^2 x/(sin^2 x-cos^2 x)=(sin^2 x-cos^2 x)/(sinx-cosx)=sinx+cosx
求证:Sin^2 x / (sinx-cosx) - (sin x + cos x)/(ta
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