Sine of x minus Cosine of x

Theorem

Sine Form

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

Cosine Form

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

Also see

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