Write z₁ and 2₂ in polar form. Z1 = N Z2 = Z1²2 Z1 Z2 Find the product Z₁Z2 and the quotients and 1 Z1 = = Z₁ = √√√3+1, Z₂ = 1 + √√3i = Z1 Z2 nd (Express your answers in polar form.)
Write z₁ and 2₂ in polar form. Z1 = N Z2 = Z1²2 Z1 Z2 Find the product Z₁Z2 and the quotients and 1 Z1 = = Z₁ = √√√3+1, Z₂ = 1 + √√3i = Z1 Z2 nd (Express your answers in polar form.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Exercise: Converting Complex Numbers to Polar Form
#### Instructions
Write \( z_1 \) and \( z_2 \) in polar form.
Given complex numbers:
\[ z_1 = \sqrt{3} + i, \quad z_2 = 1 + \sqrt{3}i \]
Convert these numbers into polar form.
- **\( z_1 \) =** [Enter answer here]
- **\( z_2 \) =** [Enter answer here]
#### Additional Tasks
Find the product \( z_1 z_2 \) and the quotients \( \frac{z_1}{z_2} \) and \( \frac{1}{z_1} \). (Express your answers in polar form.)
- **\( z_1 z_2 \) =** [Enter answer here]
- **\( \frac{z_1}{z_2} \) =** [Enter answer here]
- **\( \frac{1}{z_1} \) =** [Enter answer here]
---
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Transcribed Image Text:### Exercise: Converting Complex Numbers to Polar Form
#### Instructions
Write \( z_1 \) and \( z_2 \) in polar form.
Given complex numbers:
\[ z_1 = \sqrt{3} + i, \quad z_2 = 1 + \sqrt{3}i \]
Convert these numbers into polar form.
- **\( z_1 \) =** [Enter answer here]
- **\( z_2 \) =** [Enter answer here]
#### Additional Tasks
Find the product \( z_1 z_2 \) and the quotients \( \frac{z_1}{z_2} \) and \( \frac{1}{z_1} \). (Express your answers in polar form.)
- **\( z_1 z_2 \) =** [Enter answer here]
- **\( \frac{z_1}{z_2} \) =** [Enter answer here]
- **\( \frac{1}{z_1} \) =** [Enter answer here]
---
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