If w is a complex cube root of unity then the value of `cos[{(1-w)(1-w^2)(2-w)(2-w^2)+.......+(10-w)(10-w^2)}pi/9]` is

If 1, w, w^2 are the cube roots of unity, then find the value of (1-w+w^2) (1+w-w^2) .

If omega is a complex cube root of unity, then value of expression cos[{(1-omega)(1-omega^2) +...+(10-omega) (10-omega^2)}pi/900]

If omega is a complex cube root of unity, then (1+omega^2)^4=

If omega is a complex cube root of unity,then value of expression cos[{(1-omega)(1-omega^(2))+...+(10-omega)(10-omega^(2))}(pi)/(900)]

If w is complex cube root of unity,then cos[{(1-w)(1-w^(2))+......+(10-w)(10-w^(2))}(pi)/(100)]

If w is a complex cube root of unity, then show that (1-w) (1- w ^(2)) (1 - w ^(4)) ( 1 - w ^(5)) = 9