化简:sin^2a+sin^2b+2sina*sinb*cos(a+b)

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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)

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