已知sinx+siny=4/5,cosx+cosy=3/5,则cos(x-y)的值为( ) 麻烦详细些 谢谢
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sinx+siny=0.4
(sinx+siny)^2=0.16
(sinx)^2+2sinxsiny+(siny)^2=0.16
cosx+cosy=1.2
(cosx+cosy)^2=1.44
(cosx)^2+2cosxcosy+(cosy)^2=1.44
两个式子相加:
2+2sinxsiny+2cosxcosy=1.6
2(sinxsiny+cosxcosy)=-0.4
2cos(x-y)=-0.4
cos(x-y)=-0.2
(sinx+siny)^2=0.16
(sinx)^2+2sinxsiny+(siny)^2=0.16
cosx+cosy=1.2
(cosx+cosy)^2=1.44
(cosx)^2+2cosxcosy+(cosy)^2=1.44
两个式子相加:
2+2sinxsiny+2cosxcosy=1.6
2(sinxsiny+cosxcosy)=-0.4
2cos(x-y)=-0.4
cos(x-y)=-0.2
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