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

LHS=cos( π #160; / 4 x ) #160; cos( π #160; / 4 y ) sin( π #160; / 4 x ) #160; #160; sin( π #160; / 4 y ) #160; #160; #160; ...

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Cos(A+B)Cos(A-B)

prove the fol...

Question

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

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

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

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

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cos A cos B - sin A sin B = cos (A + B)

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