" 9.The expression "[(1+sin(pi)/(8)+i cos(pi)/(8))/(1+sin(pi)/(8)-i cos(pi)/(8))]^(8)=

((sin((pi)/(8))+i cos((pi)/(8)))^(8))/((sin((pi)/(8))-i cos((pi)/(8)))^(8)) =

The expression [(1+sin(pi/8)+icos(pi/8))/(1+sin(pi/8)-icos(pi/8))]^8 is equal is

((sin (pi/8)+i cos (pi/8))/(sin (pi/8)-i cos (pi/8)))^(8)=

" **4.Show that one value of "((1+sin(pi)/(8)+i cos(pi)/(8))/(1+sin(pi)/(8)-i cos(pi)/(8)))^((8)/(3))=-1

Prove that ((1+sin.(pi)/(8)+icos.(pi)/(8))/(1+sin.(pi)/(8)-icos.(pi)/(8)))^(8)=-1

[(1+sin(pi//8)+icos(pi//8))/(1+sin(pi//8)-icospi//8)]^(-8//3)

The smallest positive integral value of ' n ' such that [(1+sin (pi)/(8)+i cos (pi)/(8))(1+sin (pi)/(8)-i cos (pi)/(8))]^(n) is purely imaginary is

((1+"cos"(pi)/(8)+"isin"(pi)/(8))/(1+"cos"(pi)/(8)-"isin"(pi)/(8)))^(8)=

((1 + "cos"(pi)/(8) -i "sin"(pi)/(8))/(1 + "cos"(pi)/(8) + i "sin" (pi)/(8)))^(12)=