((1+sin(2 pi)/(9)+i cos(2 pi)/(9))/(1+sin(2 pi)/(9)-i cos(2 pi)/(9)))^(3)" is "

Find the value ((1+sin((2pi)/9)+icos((2pi)/9))/(1+sin((2pi)/9)-icos((2pi)/9)))^3

Simplify: [(1+ (sin pi) / (8) + i (cos pi) / (8)) / (1+ (sin pi) / (8) -i (cos pi) / (8))] ^ ((1) / (2))

(sec^(2)(pi)/(4)-cot^(2)(pi)/(4))/(sin^(2)(pi)/(3)+cos^(2)(pi)/(6))+(sin^(2)(pi)/(2)-cos^(2)(pi)/(3))/((1)/(4)tan^(2)(pi)/(6))=9(2)/(3)

Prove that sin ""(pi)/(9) sin ""(2pi)/(9) sin ""( 3pi)/(9) sin ""(4pi)/(9) = (3)/(16).

The value of (1+cos((pi)/(9)))(1+cos((3 pi)/(9)))(1+cos((5 pi)/(9)))(1+cos((7 pi)/(9)))

Prove that cos ""(pi)/(9) cos ""( 2pi)/(9) cos "" (3pi)/(9) cos ""(4pi)/(9) = (1)/(2 ^(4)).

Hence deduce that cos(pi)/(9)cos(2 pi)/(9)cos(3 pi)/(9)cos(4 pi)/(9)=(1)/(16)

The value of cos""(pi)/(9)cos""(2pi)/(9)cos""(3pi)/(9), is

The value of cos""(pi)/(9)cos""(2pi)/(9)cos""(3pi)/(9), is