((sinA.cosB+cosA.sinB)^2)+(cosA.cosB-sinA.sinB)^2=1
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since
sinAcosB+cosAsinB = sin(A+B) and
cosAcosB-sinAsinB = cos(A+B)
hence
it becomes as [sin(A+B)^2+cos(A+B)^2]
and we know that if the angles are equal then it will be = 1
sinAcosB+cosAsinB = sin(A+B) and
cosAcosB-sinAsinB = cos(A+B)
hence
it becomes as [sin(A+B)^2+cos(A+B)^2]
and we know that if the angles are equal then it will be = 1
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