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若X+y=3派/4则(1-tanx)(1-tany)的值
人气:301 ℃ 时间:2020-04-16 01:51:00
解答
答案为2 tan(x+y)=-1,tan(x+y)=(tanx+tany)/1-tanxtany:所以tanx+tany=tanxtany-1,又因为原式=1-tanx-tany+tanxtany,用tanx+tany=tanxtany-1替代,原式=1+1-tanxtany+tanxtany=2.
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