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Use DeMoivre\'s theorem to find the two square roots of the following number in

ID: 1949417 • Letter: U

Question

Use DeMoivre's theorem to find the two square roots of the following number in polar form. 16(cos 120 degree + j sin 120 degree) What are the two square roots of 16(cos 120 degree + j sin 120 degree)? (Simplify your answer. Use integers or decimals for any numbers in the expression. Type your answer in degrees. Express complex numbers in terms of j. Use a comma to separate answers as needed. Do not include the degree symbol in your answer.)

Explanation / Answer

r=sqrt16=4 for first root=theta=120/2=60==>4(cos60+isin60) for second root=theta=60+180=240==>4(cos240+isin240)

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