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titir15
12.08.2020 •
Mathematics
Use De Moivre's theorem to find the indicated power of the complex number. Write the answer in rectangular form.[2(cos10∘ + i sin10∘)]^3.
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Ответ:
Step-by-step explanation:
Given complex number is:
To find:
Answer in rectangular form after using De Moivre's theorem = ?
i.e. the form
(not in forms of angles)
Solution:
De Moivre's theorem provides us a way of solving the powers of complex numbers written in polar form.
As per De Moivre's theorem:
So, the given complex number can be written as:
Now, using De Moivre's theorem:
So, the answer in rectangular form is:
Ответ:
-581472