Math Trig
posted by John .
At what two points on the unit circle is the xcoordinate equal to the ycoordinate?
Hint:Use the equation for the unit circle (x^2+y^2=1) but this time, replace y with x.

so you would get
x^2 + x^2 = 1
2x^2 = 1
x^2 = 1/2 or
x = 1/±√2 or √2/2 after rationalized
then y = √2/2
so the two points would be
(√2/2,√2/2) and (√2/2,√2/2)