A sine wave, ft), is zero and increasing at t-2.1 ms, and the succeeding positive maximum of 12.3 occurs at t= 16.7 ms. Express the wave function fit) in the following forms Make sure to carry at least 4 decimal places (a) C₁ sin(at +) where dis positive, small as possible, and in degrees (b) C₂ cos(ut + B) where has the smallest possible magnitude and is in degrees (c) cos(wt) + C, sin(at) (a) -2.7554sin(107.58881+347.0548) (b) 11.9874cos(107.5888t+347.0548-90) (C)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A sine wave, f(t), is zero and increasing at t= 2.1 ms, and the succeeding positive maximum of 12.3 occurs at t = 16.7 ms. Express the wave function f(t) in the
following forms:
Make sure to carry at least 4 decimal places
(a) C₁ sin(wt + d) where is positive, small as possible, and in degrees
(b) C₂ cos(wt+B) where 8 has the smallest possible magnitude and is in degrees
(c) cos(wt) + C, sin(at)
(a)
(b)
(C)
-2.7554sin(107.58881+347.0548)
11.9874cos( 107.5888t+347.0548-90)
Transcribed Image Text:A sine wave, f(t), is zero and increasing at t= 2.1 ms, and the succeeding positive maximum of 12.3 occurs at t = 16.7 ms. Express the wave function f(t) in the following forms: Make sure to carry at least 4 decimal places (a) C₁ sin(wt + d) where is positive, small as possible, and in degrees (b) C₂ cos(wt+B) where 8 has the smallest possible magnitude and is in degrees (c) cos(wt) + C, sin(at) (a) (b) (C) -2.7554sin(107.58881+347.0548) 11.9874cos( 107.5888t+347.0548-90)
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