Precal
posted by krista .
show that: (1tanx)/(1+tanx)= (1sinx)/(cos2x)

Is the denominator on the right cos(2x) or cos^2x ? Neither seems to work.
If x = pi/4, the left side is 0 and the right side is 0.293/0 = infinity, if the denominator is cos 2x.
Therefore what you wrote is not an identity.