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If `tan A tan B = sqrt((a-b)/(a+b)),` prove that : `(a-b cos 2A) (a-b cos 2B) = a^2 -b^2`

Title : If `tan A tan B = sqrt((a-b)/(a+b)),` prove that : `(a-b cos 2A) (a-b cos 2B) = a^2 -b^2`
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