Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. (Round your answers to one decimal place.) (-5, 5.39) (х, у) %3D Need Help? Watch It Read It

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
**Finding Rectangular Coordinates from Polar Coordinates**

Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. (Round your answers to one decimal place.)

Given Polar Coordinates:  
\((-5, 5.39)\)

Required Rectangular Coordinates \((x, y)\):
\( ( \:\_\_\_\_\_ \:, \:\_\_\_\_\_ \: ) \)

**Need Help?**
- [Read It]
- [Watch It]

**Instructions:**
1. Understand that polar coordinates \((r, θ)\) are represented by a radius \(r\) and an angle \(θ\) (in radians or degrees) from the positive x-axis.
2. To convert from polar coordinates to rectangular coordinates \((x, y)\), use the following formulas:
   - \( x = r \cos(θ) \)
   - \( y = r \sin(θ) \)
3. Input the given polar coordinates into your graphing utility or calculator.
4. Find the x and y values using the formulas for conversion.
5. Round your answers to one decimal place.
6. Enter the results in the provided rectangular coordinates box.

By watching the linked videos or reading the provided materials, you can gain a deeper understanding of this conversion process and solve similar problems effectively.
Transcribed Image Text:**Finding Rectangular Coordinates from Polar Coordinates** Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. (Round your answers to one decimal place.) Given Polar Coordinates: \((-5, 5.39)\) Required Rectangular Coordinates \((x, y)\): \( ( \:\_\_\_\_\_ \:, \:\_\_\_\_\_ \: ) \) **Need Help?** - [Read It] - [Watch It] **Instructions:** 1. Understand that polar coordinates \((r, θ)\) are represented by a radius \(r\) and an angle \(θ\) (in radians or degrees) from the positive x-axis. 2. To convert from polar coordinates to rectangular coordinates \((x, y)\), use the following formulas: - \( x = r \cos(θ) \) - \( y = r \sin(θ) \) 3. Input the given polar coordinates into your graphing utility or calculator. 4. Find the x and y values using the formulas for conversion. 5. Round your answers to one decimal place. 6. Enter the results in the provided rectangular coordinates box. By watching the linked videos or reading the provided materials, you can gain a deeper understanding of this conversion process and solve similar problems effectively.
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