Home › TS EAMCET › Mathematics › Algebra: De Moivre's Theorem › A number z is an nth root of unity when it satis…
A number z is an nth root of unity when it satisfies which equation?
Az + n = 1
Bz^n = 1
Cn z = 1
Dz^n = n
Answer & Solution
Correct answer: B. z^n = 1
By definition an nth root of unity is any complex number whose nth power equals 1.
Related questions
A complex number raised to a non-integer power gives what result?Generalizations of de Moivre's theorem can be used to write explicit expressions for whichFor which kind of exponent n is (cos x + i sin x)^n = cos nx + i sin nx stated to hold in For even n, which real numbers are nth roots of unity?Each of the four fourth roots of 16 has modulusUsing the cube roots of unity 1, w, w^2, the value of 1 + w + w^2 isUnder multiplication, the nth roots of unity form which type of group?If n is a prime number such as 7, how many nth roots of unity are primitive?