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

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

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 w is a complex cube root of unity, then prove that (1)/(w) + (1)/( w ^(2)) =- 1

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

If omega is a complex cube root of unity, then (1-omega+(omega)^2)^3 =