Question 850671
give all degree solutions to cos x -sin x = squareroot 2/2
{{{cos(x)-sin(x)=sqrt(2)/2}}}
square both sides
{{{cos^2(x)-2sin(x)cos(x)+sin^2(x)=2/4=1/2
{{{-sin(2x)+1=1/2}}}
sin(2x)=1/2
2x=30+360n, 150+360n, n=integer
x=15+360n, 75+360n, n=integer