Realize the following approximation of the sin(x) function.. sin x ~ 00 L i=0 (-1)⁰ (2i + 1)! -x2i+1 = x x3 x5 x7 + 3! 5! 7! The approximation is based on the Maclaurin series expansion, and it becomes an equality (i.e. not only an approximation) as the summation continues to infinity. Your program will check if the approximation error falls below 1e-15, and stops if so. Otherwise, it will continue to a maximum of 100 summations. Your program should ask the user about the angle (in radians) which they want to find the sin() of. Notice that the user will only input an angle in radians and in the range [0-pi]. Use a while loop to answer the question. Use the following definition for the approximation error: Error = abs(true value - approximation) / true value Hint: you need two loops, where one goes through the summation, and the other is dedicated to calculating the factorials. Hint: The angle must be expressed in radians and must be in the range [0-pi]. Use such numbers when testing your code.
Realize the following approximation of the sin(x) function.. sin x ~ 00 L i=0 (-1)⁰ (2i + 1)! -x2i+1 = x x3 x5 x7 + 3! 5! 7! The approximation is based on the Maclaurin series expansion, and it becomes an equality (i.e. not only an approximation) as the summation continues to infinity. Your program will check if the approximation error falls below 1e-15, and stops if so. Otherwise, it will continue to a maximum of 100 summations. Your program should ask the user about the angle (in radians) which they want to find the sin() of. Notice that the user will only input an angle in radians and in the range [0-pi]. Use a while loop to answer the question. Use the following definition for the approximation error: Error = abs(true value - approximation) / true value Hint: you need two loops, where one goes through the summation, and the other is dedicated to calculating the factorials. Hint: The angle must be expressed in radians and must be in the range [0-pi]. Use such numbers when testing your code.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question
Realize the following approximation of the sin(x) function..
sin x ~
00
L
i=0
(-1)⁰
(2i + 1)!
-x2i+1 = x
x3
x5 x7
+
3! 5! 7!
The approximation is based on the Maclaurin series expansion, and it
becomes an equality (i.e. not only an approximation) as the summation
continues to infinity. Your program will check if the approximation error
falls below 1e-15, and stops if so. Otherwise, it will continue to a
maximum of 100 summations. Your program should ask the user about
the angle (in radians) which they want to find the sin() of. Notice that
the user will only input an angle in radians and in the range [0-pi]. Use
a while loop to answer the question.
Use the following definition for the approximation error:
Error = abs(true value - approximation) / true value
Hint: you need two loops, where one goes through the summation,
and the other is dedicated to calculating the factorials.
Hint: The angle must be expressed in radians and must be in the
range [0-pi]. Use such numbers when testing your code.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY