- #1
opus
Gold Member
- 717
- 131
If I want to find the point where the graphs of ##y=cos^2(x)## and ##g=sin^2(x)## intersect, I would set the equations equal to each other and solve for the ##x##. This solution is ##x=sin^{-1}\left(\frac{\sqrt{2}}{2}\right)=\frac{π}{4}+2nπ,\frac{3π}{4}+2nπ##.
However these the graphs do intersect at point's not in this listed solution, say ##\frac{-π}{4}## and this is because we are squaring the values. So where has my logic gone wrong so that I can list all solutions of ##y=cos^2(x)## and ##g=sin^2(x)##?
However these the graphs do intersect at point's not in this listed solution, say ##\frac{-π}{4}## and this is because we are squaring the values. So where has my logic gone wrong so that I can list all solutions of ##y=cos^2(x)## and ##g=sin^2(x)##?