A graphing calculator is recommended. A digital delay device echoes an input signal by repeating it a fixed length of time after it is received. If such a device receives the pure note f;(e) = 6 sin(e) and echoes the pure note f(t) = 6 cos(t), then the combined sound is ft) = f,(e) + f2(e). (a) Graph y= f(e) and observe that the graph has the form of a sine curve y=k sin(t + $). AA AA 10r 10 -10 10 10 -5 -10 -10 (b) Find k and

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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A graphing calculator is recommended.
A digital delay device echoes an input signal by repeating it a fixed length of time after it is received. If such a device receives the pure note f, (t) = 6 sin(t) and echoes the pure note f2(t) = 6 cos(t), then the combined sound is f(t) = f,(t) + f2(t).
(a) Graph y = f(t) and observe that the graph has the form of a sine curve y = k sin(t + 0).
y
10r
y
10r
5
14
- 2
4
4
-5
-10
- 10
AVAA
y
10
10
5
-4
2
-4
-2
2
14
- 10
10
(b) Find k and p.
k =
Transcribed Image Text:A graphing calculator is recommended. A digital delay device echoes an input signal by repeating it a fixed length of time after it is received. If such a device receives the pure note f, (t) = 6 sin(t) and echoes the pure note f2(t) = 6 cos(t), then the combined sound is f(t) = f,(t) + f2(t). (a) Graph y = f(t) and observe that the graph has the form of a sine curve y = k sin(t + 0). y 10r y 10r 5 14 - 2 4 4 -5 -10 - 10 AVAA y 10 10 5 -4 2 -4 -2 2 14 - 10 10 (b) Find k and p. k =
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