The value ofThe value of ((1 + sin 2π/9 + i cos 2π/9)/(1 + sin 2π/9 - i cos 2π/9))^3

Question

The value of ((1 + sin 2π/9 + i cos 2π/9)/(1 + sin 2π/9 - i cos 2π/9))³

Answer 1

Answer is (2)

The value of 

Answer 2

replaced denominator to cancel out and make it more simple ,
then used DE'MOIVER's Theorem