Use a suitable linearization to find an approximate value of – sin(36°) = - sin 5 () - as follows: (a) Explain why 30° = 1 /6 is a good tabular point; (b) Give the equation of the tangent line at the tabular point and the value of the approximation; (c) Give an upper bound for the error function |E(36°)|;

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Use a suitable linearization to find an approximate value of – sin(36°) = – sin (=)
as follows:
(a) Explain why 30° = 1 /6 is a good tabular point;
(b) Give the equation of the tangent line at the tabular point and the value of
the approximation;
(c) Give an upper bound for the error function |E(36°)|;
(d) Show that
- sin(36°) E (-0.59068, –0.58681).
Transcribed Image Text:Use a suitable linearization to find an approximate value of – sin(36°) = – sin (=) as follows: (a) Explain why 30° = 1 /6 is a good tabular point; (b) Give the equation of the tangent line at the tabular point and the value of the approximation; (c) Give an upper bound for the error function |E(36°)|; (d) Show that - sin(36°) E (-0.59068, –0.58681).
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,