COMPLEX NUMBERS | QUESTIONS, DE MOIVRES THEOREM, CUBE ROOTS OF UNITY, NTH ROOTS OF UNITY, THE NTH ROOT OF UNITY | Find Principal Argument of the complex no. `sin((6pi)/5)+i(1+cos((6pi)/5))`, Find the Area bounded by `|argz|lepi/4` and `|z-1|lt|z-3|`., State De Moivres Theorem and prove it (DeMoivres, DeMoivres Theorem), Find the value of `Sin n theta` and `cos n theta` as a sum of binomial Expansion, Value and physical representation of Cube roots of Unity, The sum and product of cube roots of unity is 0 and 1., If `1,omega,omega^2` are cube root of unity and n is a positive integer, then `1+omega^n+omega^(2n)` = (3, when n is a multiple of 3), (0, when n is not a multiple of 3), :Introduction of nth roots of unity, sum and product of nth roots of unity and their geometrical representation