Home › AP EAPCET (Engineering) › Mathematics › Algebra: De Moivre's Theorem › Among the fourth roots of −1, what is the smalle…
Among the fourth roots of −1, what is the smallest positive argument?
A135°
B22.5°
C45°
D90°
Answer & Solution
Correct answer: C. 45°
The roots have arguments (180° + 360°k)/4, so the smallest positive one is 45°.
Related questions
The 9th power of cos 20° + i sin 20° is which value?Which is the hyperbolic analogue of de Moivre's formula?Which number satisfies the equation z^6 = 1?The formula for cos nx in powers of cos x is which classical polynomial family?De Moivre's formula links complex numbers with which branch of mathematics?De Moivre's formula can be derived from Euler's formula together with which law?Which method of proof is used to establish de Moivre's theorem for natural numbers?A non-integer power of a complex number gives what kind of result?