sin2x+sin2y=2sin(x+y)cos(x-y) 怎么算?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/24 16:42:39
sin2x+sin2y=2sin(x+y)cos(x-y) 怎么算?
x)+3F@JBR39XBRSYCߓMI*'^~ fc(i+b@ȩB 9T1T-)Wj*A4D!WZ 1 $A2 G2!Qm4DF 1"ě

sin2x+sin2y=2sin(x+y)cos(x-y) 怎么算?
sin2x+sin2y=2sin(x+y)cos(x-y) 怎么算?

sin2x+sin2y=2sin(x+y)cos(x-y) 怎么算?
2sin(x+y)cos(x-y)
=2(sinxcosy+cosxsiny)(cosxcosy+sinxsiny)
=2sinxcosxcos²y+2sinycosysin²x+2sinycosycos²x+2sinxcosxsin²y
=sin2xcos²y+sin2ysin²x+sin2ycos²x+sin2xsin²y
=sin2x(sin²y+cos²y)+sin2y(sin²x+cos²x)
=sin2x+sin2y