If `i=sqrt-1 and omega` is an imaginary cube root of unity, then find the value of `((1+i)^(2n)-(1-i)^(2n))/((1+omega^(4)-omega^(2))(1-omega^(4)+omega^(2)))`

If omega is an imaginary cube root of unity, then (1 + omega - omega^(2))^(7) is equal to

If omega is a cube root of unity, then find (3+5omega+3omega^(2))^(2)+ (3 +3omega+5omega^(2))^(2)

If omegane1 is a cube root of unity , then the value of |(1,1+i+w^2,w^2),(1-i,-1,w^2 -1),(-i,-1+w-i,-1)| , is

If omega is a complex cube root of unity, then value of Delta=|(a_(1)+b_(1)omega,a_(1)omega^(2)+b_(1),c_(1)+b_(1)omega),(a_(2)+b_(2)omega,a_(2)omega^(2)+b_(2),c_(2)+b_(2)omega),(a_(3)+b_(3)omega,a_(3)omega^(2)+b_(3),c_(3)+b_(3)omega)| is a)0 b)-1 c)2 d)None of these

If omega is a complex cube root of unity, then the value of sin{(omega^(10)+omega^(23))pi-(pi)/(6)} is a) (1)/(sqrt(2)) b) (sqrt(3))/(2) c) -(1)/(sqrt(2)) d) (1)/(2)

Let omega ne 1 be cube root of unity and (1 + omega ) ^(7)= a + omega. Then the value of a is

If a, b, c are integers, no two of them being equal and omega is complex cube root of unity, then minimum value of |a+b omega| + c omega^(2)| is

Let omega be an imaginary root of x^(n)=1 . Then (5-omega)(5-omega^(2))…(5-omega^(n-1)) is :a)1 b) (5^(n)+1)/4 c) 4^(n-1) d) (5^(n)-1)/4

If omega is a complex cube root of unity, show that [[1 , omega, omega^2], [ omega, omega^2, 1],[ omega^2, 1, omega]] [[1],[ omega],[ omega^2]]=[[0],[ 0],[ 0]]