Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
3. Here's a way to evaluate due to Euler. We've seen that sin 72 TZ - k² ·ÎI (¹-³). j=1 (a) Equate the coefficients of z² on both sides, to recover the desired sum. (b) Equate the coefficients of z4 on both sides to recover a different sum. By equating coefficients of higher powers of z, one can recover other identities too. On the next homework set we'll see a more general method to calculate sums.

3. Here's a way to evaluate due to Euler. We've seen that sin 72 TZ - k² ·ÎI (¹-³). j=1 (a) Equate the coefficients of z² on both sides, to recover the desired sum. (b) Equate the coefficients of z4 on both sides to recover a different sum. By equating coefficients of higher powers of z, one can recover other identities too. On the next homework set we'll see a more general method to calculate sums.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 46A: The solution of the following problems requires more than one formula and the rearrangement of...
See similar textbooks
icon
Related questions
Question
3. Here's a way to evaluate due to Euler. We've seen that sin 72 TZ - k² ·ÎI (¹-²). j=1 (a) Equate the coefficients of z² on both sides, to recover the desired sum. (b) Equate the coefficients of z4 on both sides to recover a different sum. By equating coefficients of higher powers of z, one can recover other identities too. On the next homework set we'll see a more general method to calculate sums.
Transcribed Image Text:3. Here's a way to evaluate due to Euler. We've seen that sin 72 TZ - k² ·ÎI (¹-²). j=1 (a) Equate the coefficients of z² on both sides, to recover the desired sum. (b) Equate the coefficients of z4 on both sides to recover a different sum. By equating coefficients of higher powers of z, one can recover other identities too. On the next homework set we'll see a more general method to calculate sums.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS