b. Evaluate L{sin(at)}. f(t) = sin(at) F(s) = L{sin(at)} = e-st (sin(at))dt е 1 =-=-e-st sin(at) | | ² - 3 / ² - • a cos(at) 1 S $2 [-3/²6² e e-st (sin(at))dt
b. Evaluate L{sin(at)}. f(t) = sin(at) F(s) = L{sin(at)} = e-st (sin(at))dt е 1 =-=-e-st sin(at) | | ² - 3 / ² - • a cos(at) 1 S $2 [-3/²6² e e-st (sin(at))dt
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 106E
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please explain how the last terms were obtained using
![b. Evaluate L{sin(at)}.
f(t) = sin(at)
F(s) = L{sin(at)} = *e-st(sin(at))dt
0
1
1
=-=e-st.sin(at)
S
-
1
a cos(at)
[-36²
fe
e-st (sin(at))dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d53998f-4545-44c0-bfeb-c9570c805b86%2F726f23e2-9c04-47bc-890c-8ca622d1aeb8%2Ffjlmjwm_processed.png&w=3840&q=75)
Transcribed Image Text:b. Evaluate L{sin(at)}.
f(t) = sin(at)
F(s) = L{sin(at)} = *e-st(sin(at))dt
0
1
1
=-=e-st.sin(at)
S
-
1
a cos(at)
[-36²
fe
e-st (sin(at))dt
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