## Find the cube roots of 27(cos 327° + i sin 327° ). Write the answer in trigonometric form.

Question

Find the cube roots of 27(cos 327° + i sin 327° ). Write the answer in trigonometric form.

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2 months 2021-07-22T21:53:12+00:00 1 Answers 6 views 0

, ,

Explanation:

The cube root of the complex number can determined by the following De Moivre’s Formula:

Where angles are measured in radians and k represents an integer between and .

The magnitude of the complex number is and the equivalent angular value is . The set of cubic roots are, respectively:

k = 0

k = 1

k = 2