化简sin^2a+sin^2b+2sinasinbcos(a+b)
问题描述:
化简sin^2a+sin^2b+2sinasinbcos(a+b)
答
sin^2a+sin^2b+2sinasinbcos(a+b)=sin^2a+sin^2b+2sinasinb(cosacosb-sinasinb)=(sin^2a-sin^2asin^2b)+(sin^2b-sin^2asin^2b)+2sinasinbcosacosb=sin^2acos^2b+sin^2bcos^2a+2sinasinbcosacosb=(sinacosb+sinbcos...