已知3cos(2x+y)+5cosy=0,则tan(x+y)tanx的值是线上等!

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已知3cos(2x+y)+5cosy=0,则tan(x+y)tanx的值是
线上等!

cos(2x+y)=cos[(x+y)+x]
=cos(x+y)cosx-sin(x+y)sinx
cosy=cos[(x+y)-x]
=cos(x+y)cosx+sin(x+y)sinx
3cos(2x+y)+5cosy
=8cos(x+y)cosx+2sin(x+y)sinx=0
tan(x+y)tanx=-4