If `w` is cube root of unity then find the value of `(1+omega)(1-w^(2)+omega)+omega^(2)`

If omega is an imaginary cube root of unity, then find the value of (1+omega)(1+omega^2)(1+omega^3)(1+omega^4)(1+omega^5)........(1+omega^(3n))=

If omega is a complex cube roots of unity, then find the value of the (1+ omega)(1+ omega^(2))(1+ omega^(4)) (1+ omega^(8)) … to 2n factors.

If omega is a cube root of unity then find the value of sin((omega^(10)+omega^(23))pi -pi/4)

If omega is a cube root of unity then find the value of sin((omega^(10)+omega^(23))pi-pi/4)

If omega is a cube root of unity, then find the value of the following: (1+omega-omega^2)(1-omega+omega^2)

If omega is a cube root of unity, then find the value of the following: (1-omega)(1-omega^2)(1-omega^4)(1-omega^8)

If omega!=1 is a cube root of unity, then find the value of |[1+2omega^100+omega^200,omega^2,1],[1,1+omega^100+2omega^200,omega],[omega,omega^2,2+omega^100+omega^200]|

If omega is an imaginary cube root of unity, then the value of |(a,b omega^(2),a omega),(b omega,c,b omega^(2)),(c omega^(2),a omega,c)| , is

If 1,x_(1),x_(2),x_(3) are the roots of x^(4)-1=0andomega is a complex cube root of unity, find the value of ((omega^(2)-x_(1))(omega^(2)-x_(2))(omega^(2)-x_(3)))/((omega-x_(1))(omega-x_(2))(omega-x_(3)))

(1)/(a + omega) + (1)/(b+omega) +(1)/(c + omega) + (1)/(d + omega) =(1)/(omega) where, a,b,c,d, in R and omega is a complex cube root of unity then find the value of sum (1)/(a^(2)-a+1)