STATEMENT-1-z-1-2-z-2-2-z-3-2-z-4-2-0-where-z-1-z-2-z-3-and-z-4-are-the-fourth-roots-of-unity-and-STATEMENT-2-1-1-4-cos0-i-sin0-1-4-

Question Number 21111 by Tinkutara last updated on 13/Sep/17

STATEMENT - 1 : z_{1}^{2} + z_{2}^{2} + z_{3}^{2} + z_{4}^{2} =

0 where z_{1}, z_{2}, z_{3} and z_{4} are the fourth

roots of unity .

and

STATEMENT - 2 : {(1)}^{\frac{1}{4}} = (\cos 0 ° +

{i \sin 0 °)}^{\frac{1}{4}} .