急!本人赶着数学作业!

问题描述:

急!本人赶着数学作业!
cosX+sinY=4/5 sinX+cosY=3/5 求sin(x+y)

(sinx+cosy)²+(cosx+siny)²=1
sinxcosy+cosxsiny=-1/2
sin(x+y)=-1/2