Question

√2 cos ( π /4 + x ) = cos x - sin x

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\sqrt{2} cos( \frac{\pi}{4} + x) = cosx - sinx$

$\sqrt{2} cos( \frac{\pi}{4} + x)$

$\sqrt{2} ( cos\frac{\pi}{4} \times cos \: x - sin \: x \frac{\pi}{4} \times sin x).....formula \: = cos(a + b) = cos \: a \: cos \: b - sin \: a \: sin \: b$

$\sqrt{2} ( \frac{1}{2} \times cos \: x \: - \frac{1}{2} sin \: x)$

$\frac{1}{2} \times \sqrt{2} (cos \: x \: - sin \: x)$

$cos \: x - \: sin \:x$