Prove the following- cos - 4 -x -cos - 4 -y -sin - 4 -x -sin - 4 -y -sin x-y

2 2 cos( π #160; 4 x ) #160; . cos( π #160; 4 y ) #160; sin( π #160; 4 x ) #160; . sin( π #160; 4 y ) #160; = 1 2 ( ...

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Trigonometric Ratios of Compound Angles

Prove the fol...

Question

Prove the following:
$cos (\frac{π}{4} - x) \cdot cos (\frac{π}{4} - y) - sin (\frac{π}{4} - x) \cdot sin (\frac{π}{4} - y) = sin (x + y)$

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cos (\frac{π}{4} - x) cos (\frac{π}{4} - y) - sin (\frac{π}{4} - x) sin (\frac{π}{4} - y) = sin (x + y)

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