Show that sin jx is orthogonal to sin kx in n, n for j k, j, k 1 ...

Assuming j and k are integers use the identity cosj kx cosj kx 2 sin jx ...

Show that sin jx is orthogonal to sin kx in [- n, n] for j

Question:

Show that sin jx is orthogonal to sin kx in ℓ [- n, n] for j ≠ k, j, k ≥ 1.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

See More Books

Question Posted: Apr 15, 2016 06:37 AM

See More Questions

Show that cos jx is orthogonal to cos kx in [- n, n] for j k, j, k 1.
Show that 1 is orthogonal to cos kx and sin kx in [- , ] for k 1.
Show that if v is orthogonal to both w1 and w2, then v is orthogonal to k1w1 + k2w2 for all scalars k1 and k2.
For Table 24.1, suppose you think that you omitted a relevant variable, physicians per capita. Would this harm your results for S or H? Explain your view. Table 24.1 (Model 1) The Effect of Community...
At the beginning of the current season, the ledger of Connors Tennis Shop showed Cash $3,500; Inventory $1,700; and Common Stock $5,200. The following transactions were completed during April 2014....
Calculate the work required to lift a 10-m chain over the side of a building (Figure 13). Assume that the chain has a density of 8 kg/m. Break up the chain into N segments, estimate the work...
Develop an awareness of what entrepreneurial practice is. LO.1
Pettigrew Company produces a product that has a variable cost of $13 per unit; the product sells for $28 per unit. The companys annual fixed costs total $375,000; it had net income of $75,000 in the...
Use la siguiente informacin para completar los clculos a continuacin. Costo de ventas $195,640 Inventario: Inicial 20,500 Final 18,628 a. Calcular la rotacin de inventario. b. Calcule el costo diario...
Given a password that is 15 characters long where each character can be one of the 52 upper- and lower-case letters, 10 digits or 32 punctuation symbols and assuming each hash requires 1 ns, compute...
In Exercises 1-2, find the best quadratic approximation to f on the interval [0, l]. 1. f(x) = x3 2. f(x) = x 3. f(x) = ex
Show that ||1||2 = 2 and |cos kx||2 = in [- , ]
A 2-kg disk is constrained horizontally but is free to move vertically. The disk is struck from below by a vertical jet of water. The speed and diameter of the water jet are \(10 \mathrm{~m} /...
The following information appears in the records of Poco Corporation at year-end: a. Calculate the amount of retained earnings at year-end. b. If the amount of the retained earnings at the beginning...
For the following four unrelated situations, A through D, calculate the unknown amounts appearing in each column: A B D Beginning Assets... $38,000 $22,000 $38,000 ? Liabilities.. 22,000 15,000...
On December 31, John Bush completed his first year as a financial planner. The following data are available from his accounting records: a. Compute John's net income for the year just ended using the...
Statement of Stockholders' Equity and Balance Sheet The following is balance sheet information for Flush Janitorial Service, Inc., at the end of 2019 and 2018: Required a. Prepare a balance sheet as...
Petty Corporation started business on January 1, 2019. The following information was compiled by Petty's accountant on December 31, 2019: Required a. You have been asked to assist the accountant for...
What are the steps in rational decision making?
In the busy port of Chennai, India, the number of containers loaded onto ships during a 15-week period is as follows: 1. Develop a linear trend equation to forecast container loadings. 2. Using the...
A container firm is designing an open-top rectangular box, with a square base, that will hold 108 in3. Let x = the length of a side of the base. (a) Express the surface area as a function of x. (b)...
Graph each of the following. (a) (b) x for x s -4 x1, forx-4 for x2, for-2 s xs 2, Vx-1, for x > 2
For the function in Exercise 18, find f(-1), f(5), f(-2), and f(-3).
A company is evaluating a new 4-year project. The equipment necessary for the project will cost $3,300,000 and can be sold for $650,000 at the end of the project. The asset is in the 5-year MACRS...
You have just been hired as a new management trainee by Earrings Unlimited, a distributor of earrings to various retail outlets located in shopping malls across the country. In the past, the company...
I need to see where the calculations for this problem come from plz. 5. Award: 4.00 points Lucido Products markets two computer games: Claimjumper and Makeover. A contribution format income statement...

Show that sin jx is orthogonal to sin kx in [- n, n] for j

Question:

Step by Step Answer:

Assuming j and k are integers use the identity cosj kx cosj kx 2 sin jx ...View the full answer

Linear Algebra A Modern Introduction

Students also viewed these Linear Algebra questions