Find the value of: ` omega^-105`

Find the value of: omega^-30

Find the value of: omega^-364

Find the value of: omega^768

Find the value of (i)omega^(21)(i i)omega^(18)

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!=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]|

Reduce the equation sqrt(3)x+y-8=0 into normal form. Find the values of p and omega .

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)))

A vertical U -tube is spinned about the vertical axis passing through the left hand limb, with an angular speed omega such that the liquid columns in the limbs have heights h and 3h , as shown in the figure. Find the value of to omega .