已知sinx-siny=-
,cosx-cosy=
且x,y为锐角,则tan(x-y)= ___ .
人气:497 ℃ 时间:2020-05-19 03:25:45
解答
∵sinx-siny=-
,cosx-cosy=
,
两式平方相加得:cos(x-y)=
,
∵x、y为锐角,sinx-siny<0,
∴x<y,
∴sin(x-y)=-
=-
,
∴tan(x-y)=
=
=-
.
故答案为:-
.
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