Graph the complex number. 5+2i -6-5-4-3-2-1 Im i -it Im 1 2 3 4 5 6 Re Re O -6-5-4-3-2-1 -i Im il it Im 1 2 3 4 4 5 56 Re Re

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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### Graph Description

The image shows two complex planes labeled with the imaginary unit \(i\) and real numbers (\(Re\)). The real axis is labeled from \(-6\) to \(6\) on both graphs. The vertical imaginary axis is also labeled, with units in the imaginary number \(i\).

- **Left Graph**: 
  - A red dot is plotted at a location corresponding to a complex number.

- **Right Graph**: 
  - Appears to have an indistinct point with a green checkmark near it.

### Problem Statement

- **Task**: Find the modulus \(r\) of the given complex number.
- **Input Box**: The answer provided is \(r = 5\), which is marked incorrect with a red 'X'.

### Additional Features

- There are help options available: 
  - **Read It**
  - **Watch It**

These options suggest methods for obtaining further assistance or explanations about the topic of finding the modulus of a complex number.
Transcribed Image Text:### Graph Description The image shows two complex planes labeled with the imaginary unit \(i\) and real numbers (\(Re\)). The real axis is labeled from \(-6\) to \(6\) on both graphs. The vertical imaginary axis is also labeled, with units in the imaginary number \(i\). - **Left Graph**: - A red dot is plotted at a location corresponding to a complex number. - **Right Graph**: - Appears to have an indistinct point with a green checkmark near it. ### Problem Statement - **Task**: Find the modulus \(r\) of the given complex number. - **Input Box**: The answer provided is \(r = 5\), which is marked incorrect with a red 'X'. ### Additional Features - There are help options available: - **Read It** - **Watch It** These options suggest methods for obtaining further assistance or explanations about the topic of finding the modulus of a complex number.
The image appears to be an instruction for graphing a complex number with corresponding plots.

**Text:**
- "Graph the complex number: 5 + 2i"

**Graphs:**
There are four Cartesian planes shown. Each graph consists of two axes:
- The horizontal axis is labeled "Re," representing the real part of the complex numbers.
- The vertical axis is labeled "Im," representing the imaginary part.

**Detailed Explanation:**
- The complex number \( 5 + 2i \) is plotted on these graphs.
- The point is marked with a red dot.
- The point corresponding to this complex number is located at the intersection of the line \( x = 5 \) on the real axis and \( y = 2 \) on the imaginary axis.
  
These graphs serve as visual representations to help understand how complex numbers are plotted with respect to their real and imaginary components.
Transcribed Image Text:The image appears to be an instruction for graphing a complex number with corresponding plots. **Text:** - "Graph the complex number: 5 + 2i" **Graphs:** There are four Cartesian planes shown. Each graph consists of two axes: - The horizontal axis is labeled "Re," representing the real part of the complex numbers. - The vertical axis is labeled "Im," representing the imaginary part. **Detailed Explanation:** - The complex number \( 5 + 2i \) is plotted on these graphs. - The point is marked with a red dot. - The point corresponding to this complex number is located at the intersection of the line \( x = 5 \) on the real axis and \( y = 2 \) on the imaginary axis. These graphs serve as visual representations to help understand how complex numbers are plotted with respect to their real and imaginary components.
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