化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/15 13:30:26
化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)化简sin(x+y)cos(x-y)+cos(x+y)sin

化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)
化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)

化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)
sin(x+y)cos(x-y)+cos(x+y)sin(x-y)
=sin(x+y+x-y)
=sin2x

sin(A+B) = sinAcosB + cosAsinB
A = x+y
B= x-y
sin(x+y)cos(x-y)+cos(x+y)sin(x-y)
= sin( x+y + x-y)
=sin2x

sin2x