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Find two square roots for the following complex number. Leave your answers in trigonometric form.4(cos 40° + i sin 40°)

Question

Find two square roots for the following complex number. Leave your answers in trigonometric form.4(cos 40° + i sin 40°)
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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 given by:

r^(1/n)[cos((θ+2kπ)/n) + isin((θ+2kπ)/n)]

where:

  • r is the modulus of the complex number
  • θ is the argument of the c Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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