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(cosx + cos y)^(2) + (sin x- sin y)^(2) ...

` (cosx + cos y)^(2) + (sin x- sin y)^(2) = 4 cos^(2) ((x+y)/2)`

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Prove that (cos x + cos y)^(2) + (sin x + sin y)^(2) = 4 cos^(2) ((x-y)/(2))

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Prove that (cos x +cos y)^(2)+(sin x-sin y)^(2)=4 cos^(2) ((x+y)/(2))

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Prove that: quad (cos x+cos y)^(2)+(sin x-sin y)^(2)=4cos^(2)(x+y)/(2)