Show graphically that sin x and cos 3x are orthogonal functions over the interval [-2j, 2jπ] where for the purposes of our discussion j is a very large integer. Also show graphically that 22 (sin mx) (sin nx)dx ‡ 0 for n = = m = 1. -2jπ
Show graphically that sin x and cos 3x are orthogonal functions over the interval [-2j, 2jπ] where for the purposes of our discussion j is a very large integer. Also show graphically that 22 (sin mx) (sin nx)dx ‡ 0 for n = = m = 1. -2jπ
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Show graphically that sin x and cos 3x are orthogonal functions over the
interval [-2jπ, 2jπ] where for the purposes of our discussion j is a very
large integer. Also show graphically that 22 (sin mx) (sin nx)dx ‡0
-2jπ
for n = m = 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa93ff2f-dc04-4549-9d2f-0f80a4020e3f%2Ffcd33eaf-574f-4e18-8322-22274bf2398e%2Fwpbalza_processed.png&w=3840&q=75)
Transcribed Image Text:Show graphically that sin x and cos 3x are orthogonal functions over the
interval [-2jπ, 2jπ] where for the purposes of our discussion j is a very
large integer. Also show graphically that 22 (sin mx) (sin nx)dx ‡0
-2jπ
for n = m = 1.
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