Home › AP EAMCET › Mathematics › Algebra: De Moivre's Theorem › Raise cos 30° + i sin 30° to the third power. Wh…
Raise cos 30° + i sin 30° to the third power. What number results?
Ai
B−1
C−i
D1
Answer & Solution
Correct answer: A. i
The angle triples to 90 degrees, giving cos 90° + i sin 90° = i.
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?