Cosine of x minus Sine of x

Theorem

Sine Form

$\cos x - \sin x = \sqrt 2 \, \map \sin {x + \dfrac {3 \pi} 4}$

Cosine Form

$\cos x - \sin x = \sqrt 2 \, \map \cos {x + \dfrac \pi 4}$

Also see

• Sine of x minus Cosine of x
• Sine of x plus Cosine of x