Answer :

cos (A + B) sin (C – D) = cos (A – B) sin (C + D)


(To make the math easier, while expanding this out I’ll use c A instead of cos A and s A instead of sin A)


(c A c B s A s B)(s C c D c C s D) = (c A c B + s A s B)(s C c D + c C s D)


c A c B s C c D – c A c B c C s D – s A s B s C c D + s A s B c C s D = c A c B s C c D +


c A c B c C s D + s A s B s C c D + s A s B c C s D


2s A s B s C c D = -2c A c B c C s D


sin A sin B sin C cos D = -cos A cos B cos C sin D



tan A tan B tan C = - tan D (Ans)


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