Find the Laplace transform of the following function 1. f(t) = sin(2t) cos(2t) Show your complete solution: Using the double angle trigonometric identity, the function f(t) can be rewritten as f(t)=sin(4t). Thus LS (1)| = 3/²/16 (t)}

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 48E
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Find the Laplace transform of the following function.
1. f(t) = sin(2t) cos(2t)
Show your complete solution:
Using the double angle trigonometric identity, the function f(t) can be rewritten as
ƒ(t)=—=sin(4t).
2
Thus_ £{f(1) = 37²/16
Transcribed Image Text:Find the Laplace transform of the following function. 1. f(t) = sin(2t) cos(2t) Show your complete solution: Using the double angle trigonometric identity, the function f(t) can be rewritten as ƒ(t)=—=sin(4t). 2 Thus_ £{f(1) = 37²/16
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