Complex Numbers ~ Practice Problems
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Complex Numbers ~ Practice Problems
State De-Moivre’s theorem on complex numbers and use it to prove that a complex number z = x + iy = r(cosθ+isinθ) has exactly n distinct nth roots. Hence, determine the following roots and represent each of them on the same Argand diagram (a) all the fourth roots of 16 , cube roots of 8 and fifth roots of −32i. (b) sixth roots of unity ...
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