Question 94923
sinx + cosx - sinxcosx = sin^2 x + cos^2 x
cosx + sinx - sinxcosx = 1
cosx + sinx = 1 + sinxcosx
cos^2 x + 2cosxsinx + sin^2 x = 1 + 2sinxcosx + sin^2 x cos^2 x
cos^2 x + sin^2 x = 1 + sin^2 x cos^2 x
1 = 1 + sin^2 x cos^2 x
0 = sin^2 x cos^2 x
sin^2 x = 0
Ans: 2(pi)k
cos^2 x = 0
Ans: (pi)/2 + 2(pi)k
~k is any integer
{{{graph(900,250,-13,13,-0.5,1.2,sin(x) + cos(x) - sin(x)*cos(x),sin(x)^2 + cos(x)^2)}}}