Prove that- cos 3- 4 - x - cos 3- 4 - x - -2sin x

cos ( 3π #160; 4 +x) cos ( 3π #160; 4 x) =cos 3π #160; 4 #160; cos x sin 3π #160; 4 #160; sin x cos 3π #160; 4 #160; ...

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Sin(A+B)Sin(A-B)

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Question

Prove that, $cos (\frac{3 π}{4} + x) - cos (\frac{3 π}{4} - x) = \sqrt{2} sin x$

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\cos (\frac{3 π}{4} + x) - \cos (\frac{3 π}{4} - x) = - \sqrt{2} \sin x

\cos (\frac{π}{4} + x) + \cos (\frac{π}{4} - x) = \sqrt{2} \cos x

cos (\frac{3 π}{4} + x) - cos (\frac{3 π}{4} - x) = - \sqrt{2} sin x

Prove the following:

$cos (\frac{3 π}{4} + x) - cos (\frac{3 π}{4} - x) = - \sqrt{2} sin x$

2^{sin x} + 2^{cos x} \leq 2^{1 - \frac{1}{\sqrt{2}}}

x

Prove that

$(i) cos (\frac{π}{4} + x) + cos (\frac{π}{4} - x) = \sqrt{2} cos x$

(ii) $cos (\frac{3 π}{4} + x) - cos (\frac{3 π}{4} - x) = - \sqrt{2} sin x$

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