format long

s = sqrt(2)/2
c = sqrt(2)/2

s2 = sqrt(1/2-c/2)
c2 = sqrt(1/2+c/2)

s4 = sqrt(1/2-c2/2)
c4 = sqrt(1/2+c2/2)

s8 = sqrt(1/2-c4/2)
c8 = sqrt(1/2+c4/2)