Question 749962
{{{sin(pi/8)=sin((pi/4)/2)=sqrt((1-cos(pi/4))/2)=sqrt((1-sqrt(2)/2)/2)=sqrt(2-sqrt(2))/2}}}
csc(pi/8)=1/sin(pi/8)={{{2/sqrt(2-sqrt(2))}}}
------------
csc^2 = {{{4/(2 - sqrt(2))}}}
= {{{4(2 + sqrt(2))/2}}}
= {{{2(2 + sqrt(2))}}}
= {{{4 + sqrt(8)}}}
-----
{{{csc(pi/8) = sqrt(4 + sqrt(8))}}}