化简:sin^2a+sin^2b+2sina*sinb*cos(a+b)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/08 23:37:58
化简:sin^2a+sin^2b+2sina*sinb*cos(a+b)化简:sin^2a+sin^2b+2sina*sinb*cos(a+b)化简:sin^2a+sin^2b+2sina*sinb*

化简:sin^2a+sin^2b+2sina*sinb*cos(a+b)
化简:sin^2a+sin^2b+2sina*sinb*cos(a+b)

化简:sin^2a+sin^2b+2sina*sinb*cos(a+b)
sin^2a+sin^2b+2sina*sinb*cos(a+b)
=sin^2a+sin^2b+2sina*sinb*(cosacosb-sinasinb)
=(1-cos2a)/2+(1-cos2b)/2+sin2asin2b/2-(1-cos2a)(1-cos2b)/2
=(1+sin2asin2b-cos2acos2b)/2