Use de Moivre's Theorem to find the following. Write your answer in standard form.(3 − i)4

Question

Use de Moivre's Theorem to find the following. Write your answer in standard form.(3 − i)4
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Sure, let's use De Moivre's Theorem to solve this problem. De Moivre's Theorem states that for any real number x and integer n, (cos x + i sin x)^n = cos nx + i sin nx.

Step 1: Convert (3 - i) to polar form.

The magnitude r is sqrt(3^2 + (-1)^2) = sqrt(10).

The argument θ is arctan(-1/3) = -0. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

Use de Moivre's Theorem to find the following. Write your answer in standard form.(3 − i)4

Use de Moivre's Theorem to find the following. Write your answer in standard form.[2(cos 20° + i sin 20°)]3

Find the product. Write your answer in standard form. (3b+4)(2b2−b+4)3𝑏+42𝑏2-𝑏+4

Find the product. Write your solution in standard form. (4x+1)(6x+3)(4𝑥+1)(6𝑥+3)

Find the following quotient. Write your answer in standard form for complex numbers. 2 + 4i2 − 4i

1/3