Many applications use the following "small angle" approximation for the sine to obtain a simpler model that is easy to understand and analyze. This approximation states that sin x= x, where x must be in radians. Investigate the accuracy of this approximation by creating three plots (use he subplot function to group them); 1. Plot sin x and x versus x for 0 sxs 1. [Hint: use an increment for x of 0.01]. 2. Plot the approximation error sin x-x versus x for 0 sxs 1. [Hint: use an increment for x of 0.01). 3. Plot the relative error [sin(x) - x)/sin(x) versus x for 0 sxs 1. [Hint: use an increment for x of 0.01).
Many applications use the following "small angle" approximation for the sine to obtain a simpler model that is easy to understand and analyze. This approximation states that sin x= x, where x must be in radians. Investigate the accuracy of this approximation by creating three plots (use he subplot function to group them); 1. Plot sin x and x versus x for 0 sxs 1. [Hint: use an increment for x of 0.01]. 2. Plot the approximation error sin x-x versus x for 0 sxs 1. [Hint: use an increment for x of 0.01). 3. Plot the relative error [sin(x) - x)/sin(x) versus x for 0 sxs 1. [Hint: use an increment for x of 0.01).
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
must use matlab & follow instructions
No hand written and fast answer with explanation
![Many applications use the following "small angle" approximation for the sine to obtain a simpler model that is easy to
understand and analyze. This approximation states that sin x= x, where x must be in radians.
Investigate the accuracy of this approximation by creating three plots (use he subplot function to group them):
1. Plot sin x and x versus x for 0 sxs 1. [Hint: use an increment for x of 0.01].
2. Plot the approximation error sin x-xversus x for 0 sxs 1. [Hint: use an increment for x of 0.01].
3. Plot the relative error [sin(x) - x)/sin(x) versus x for 0 sxs 1. [Hint: use an increment for x of 0.01).
How small must x be for the approximation to be accurate within 5%? Use the plot to estimate a value and store your answer in
a variable named x 5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b00dca9-c4c6-41f8-8514-8224c60ce61e%2F46755af5-59e3-4109-b052-1ef2e0fcf935%2Ffvl91rq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Many applications use the following "small angle" approximation for the sine to obtain a simpler model that is easy to
understand and analyze. This approximation states that sin x= x, where x must be in radians.
Investigate the accuracy of this approximation by creating three plots (use he subplot function to group them):
1. Plot sin x and x versus x for 0 sxs 1. [Hint: use an increment for x of 0.01].
2. Plot the approximation error sin x-xversus x for 0 sxs 1. [Hint: use an increment for x of 0.01].
3. Plot the relative error [sin(x) - x)/sin(x) versus x for 0 sxs 1. [Hint: use an increment for x of 0.01).
How small must x be for the approximation to be accurate within 5%? Use the plot to estimate a value and store your answer in
a variable named x 5.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education