### Home > PC > Chapter 11 > Lesson 11.2.1 > Problem11-71

11-71.
1. Find the rectangular form of each complex number. Use exact values! Homework Help ✎

1. z = 6 (cos() + i sin())

2. z = 7 (cos() + i sin())

Substitute the exact values for sine and cosine of 5π/6.

$\textit{z}=6\left( -\frac{\sqrt{3}}{2}+\frac{1}{2}\textit{i} \right)$

Distribute.

$\textit{z}=-3\sqrt{3}+3\textit{i}$

Recall how you graph complex numbers.Where would this point be in the xy-plane?

$\left( -3\sqrt{3},3 \right)$
The text passage contains a set of problems asking for the rectangular form of complex numbers, and it provides the solution for one of the problems.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
### Home > PC > Chapter 11 > Lesson 11.2.1 > Problem11-71

11-71.
1. Find the rectangular form of each complex number. Use exact values! Homework Help ✎

1. z = 6 (cos() + i sin())

2. z = 7 (cos() + i sin())

Substitute the exact values for sine and cosine of 5π/6.

$\textit{z}=6\left( -\frac{\sqrt{3}}{2}+\frac{1}{2}\textit{i} \right)$

Distribute.

$\textit{z}=-3\sqrt{3}+3\textit{i}$

Recall how you graph complex numbers.Where would this point be in the xy-plane?

$\left( -3\sqrt{3},3 \right)$
user
The text passage contains a set of problems asking for the rectangular form of complex numbers, and it provides the solution for one of the problems.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS