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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I need help solving the following problem.
![**Express \(\theta\) in each figure in terms of \(x\).**
**(a)**
This is a right-angled triangle with a horizontal side labeled as 3 and the vertical side labeled as \(x\). The angle \(\theta\) is located between the side labeled 3 and the hypotenuse.
- **Diagram Explanation:** The right triangle is drawn with a horizontal base (length 3) and a vertical height (length \(x\)). The hypotenuse is the side opposite the right angle. \(\theta\) is positioned adjacent to the side of length 3.
- **\(\theta = \) [Blank space for answer]
**(b)**
This is a right-angled triangle with a vertical side labeled as 5 and the hypotenuse labeled as \(x\). The angle \(\theta\) is located adjacent to the side labeled 5.
- **Diagram Explanation:** The right triangle has a vertical side (length 5) and the hypotenuse (length \(x\)). The base is opposite to the right angle. \(\theta\) is situated at the top of the triangle, adjacent to the side of length 5.
- **\(\theta = \) [Blank space for answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff58b7047-904d-4de8-8a2b-65a7fd62bf77%2F913ce939-8851-432c-8997-ecbea38b8b32%2Ffg3gj0a_processed.png&w=3840&q=75)
Transcribed Image Text:**Express \(\theta\) in each figure in terms of \(x\).**
**(a)**
This is a right-angled triangle with a horizontal side labeled as 3 and the vertical side labeled as \(x\). The angle \(\theta\) is located between the side labeled 3 and the hypotenuse.
- **Diagram Explanation:** The right triangle is drawn with a horizontal base (length 3) and a vertical height (length \(x\)). The hypotenuse is the side opposite the right angle. \(\theta\) is positioned adjacent to the side of length 3.
- **\(\theta = \) [Blank space for answer]
**(b)**
This is a right-angled triangle with a vertical side labeled as 5 and the hypotenuse labeled as \(x\). The angle \(\theta\) is located adjacent to the side labeled 5.
- **Diagram Explanation:** The right triangle has a vertical side (length 5) and the hypotenuse (length \(x\)). The base is opposite to the right angle. \(\theta\) is situated at the top of the triangle, adjacent to the side of length 5.
- **\(\theta = \) [Blank space for answer]
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