> 数学 >
已知sinx-siny=-
2
3
,cosx-cosy=
2
3
且x,y为锐角,则tan(x-y)= ___ .
人气:239 ℃ 时间:2020-05-13 11:04:28
解答
∵sinx-siny=-23,cosx-cosy=23,两式平方相加得:cos(x-y)=59,∵x、y为锐角,sinx-siny<0,∴x<y,∴sin(x-y)=-1-cos2(x-y)=-2149,∴tan(x-y)=sin(x-y)cos(x-y)=-214959=-2145.故答案为:-2145....
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