Find the rectangular coordinates of the point that has polar coordinates-2, 3 Rectangular coordinates: (,)
Find the rectangular coordinates of the point that has polar coordinates-2, 3 Rectangular coordinates: (,)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![### Problem Description
**Goal**: Convert the given polar coordinates to rectangular coordinates.
#### Polar Coordinates
- \( r = -2 \)
- \( \theta = \frac{4\pi}{3} \)
### Instructions
To find the rectangular coordinates \((x, y)\), use the conversion formulas:
1. \( x = r \cdot \cos(\theta) \)
2. \( y = r \cdot \sin(\theta) \)
### Input Section
**Rectangular Coordinates:**
\[ ( \ \ \ , \ \ \ ) \]
### Additional Options
- **Square Symbol**: Represents simplification or additional geometric tools.
- **Square Root Symbol**: Use for calculating square roots if necessary.
- **Check Mark (×)**: To submit the answer.
- **Undo (↺)**: To reset the inputs.
- **Question Mark (?)**: For help or hints.
### Note
Click "Continue" after entering your answer to proceed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60a763da-0d80-48cc-b9af-a1764b06c188%2Fde47eba1-3438-4d44-87fa-75b7aef71647%2Fhnbb9gf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
**Goal**: Convert the given polar coordinates to rectangular coordinates.
#### Polar Coordinates
- \( r = -2 \)
- \( \theta = \frac{4\pi}{3} \)
### Instructions
To find the rectangular coordinates \((x, y)\), use the conversion formulas:
1. \( x = r \cdot \cos(\theta) \)
2. \( y = r \cdot \sin(\theta) \)
### Input Section
**Rectangular Coordinates:**
\[ ( \ \ \ , \ \ \ ) \]
### Additional Options
- **Square Symbol**: Represents simplification or additional geometric tools.
- **Square Root Symbol**: Use for calculating square roots if necessary.
- **Check Mark (×)**: To submit the answer.
- **Undo (↺)**: To reset the inputs.
- **Question Mark (?)**: For help or hints.
### Note
Click "Continue" after entering your answer to proceed.
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