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...
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Question
![**Problem Statement:**
Convert the polar coordinate \((5, \frac{\pi}{4})\) to Cartesian coordinates.
**Instructions:**
Enter exact values.
**Input Fields:**
- \( x = \) [Text Box]
- \( y = \) [Text Box]
**Explanation:**
To convert from polar to Cartesian coordinates, use the following formulas:
- \( x = r \cdot \cos(\theta) \)
- \( y = r \cdot \sin(\theta) \)
Given:
- \( r = 5 \)
- \( \theta = \frac{\pi}{4} \)
Plug in these values to find the exact Cartesian coordinates \( (x, y) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F448d285c-e61e-464b-87b7-b0cab95f7d42%2F5c7c0ac0-7295-44a8-950c-0f9442b44a59%2Fum28ro_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Convert the polar coordinate \((5, \frac{\pi}{4})\) to Cartesian coordinates.
**Instructions:**
Enter exact values.
**Input Fields:**
- \( x = \) [Text Box]
- \( y = \) [Text Box]
**Explanation:**
To convert from polar to Cartesian coordinates, use the following formulas:
- \( x = r \cdot \cos(\theta) \)
- \( y = r \cdot \sin(\theta) \)
Given:
- \( r = 5 \)
- \( \theta = \frac{\pi}{4} \)
Plug in these values to find the exact Cartesian coordinates \( (x, y) \).
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