Find two square roots for the following complex number. Leave your answers in trigonometric form.25(cos 290° + i sin 290°)

Question

Find two square roots for the following complex number. Leave your answers in trigonometric form.25(cos 290° + i sin 290°)
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Solution 1

To find the square roots of a complex number in trigonometric form, we use De Moivre's Theorem. The formula for the nth root of a complex number in trigonometric form is:

r^(1/n)[cos((θ+2πk)/n) + i sin((θ+2πk)/n)]

where r is the modulus of the complex number, θ is the argument of the complex numbe Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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