Refer to explanation
The half angle formula for tangent can be written as follows
##tan(theta/2)=(1-costheta)/sintheta##
Now set ##theta=pi/4## you get
##tan(pi/8)=(1-cos(pi/4))/(sin(pi/4))=(1-sqrt2/2)/(sqrt2/2)=(2-sqrt2)/sqrt2##
We use cookies to ensure that we give you the best experience on our website. If you continue to use this site we will assume that you are happy with it.Ok