64. `(cos A +cos B)^2 +(sin A + sin B)^2` `=`

Prove that (cos A - cos B) ^(2) + (sin A - sin B ) ^(2) = 4 sin ^(2) ((A -B)/( 2 )).

Prove that (cos A + cos B ) ^(2) +(sin A + sin B) ^(2) = 4 cos ^(2) ((A -B)/(2)).

Prove that (cos A + cos B ) ^(2) +(sin A + sin B) ^(2) = 4 cos ^(2) ((A +B)/(2)).

Prove that, (cos A + cos B)^(2)+(sin A + sin B)^(2)=4cos^ (2)((A-B)/(2))

(cos A+ cos B) ^(2) + (sin A-sin B) ^(2) is equal to

Prove that ((sin 2A -sin 2B)/(cos2A + cos 2B))^(n) + ((cos 2A - Cos 2B)/(sin 2A + sin 2B))^(n) = 2 tan^(n) (A-B) or 0 According as n is even or n is odd.

Prove that (cos A-cos B)^(2)+(sin A-sin B)^(2)=4sin^(2)((A-B)/(2))

Prove that: (cos A-cos B)^(2)+(sin A-sin B)^(2)=4sin^(2)backslash(A-B)/(2)

to prove that (cos A-cos B)^(2)+(sin A-sin B)^(2)=4sin^(2)((A-B)/(2))

Prove that: (cos A+cos B)^(2)+(sin A+sin B)^(2)=4cos^(2)backslash(A-B)/(2)