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