Find all values of x such that 0≤x≤2π and sin(x)−cos(x)=1√2.
been stuck on this for a while now, help would be appreciated!
$\sin x - \cos x = \frac{1}{\sqrt{2}}$
$1 - \sin 2x = \frac{1}{2}$
$\sin 2x = \frac{1}{2}$
$2x = \frac{\pi}{6}$ or $2x = \frac{5 \pi}{6}$
$x = \frac{\pi}{12}$ or $x = \frac{5 \pi}{12}$
Thanks for answering guest but you need to put your latex in a latex box for it to render properly.
+135 
