Find the Laplace transform of f(t) = (sin t – cos t)2

pancha3 2020-12-28 Answered
Find the Laplace transform of f(t)=(sintcost)2
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Expert Answer

averes8
Answered 2020-12-29 Author has 92 answers

Expand the square: sin2(t)+cos2(t)2sin(t)cos(t)=1sin(2t).
Apply Laplace to each term: F(s)=1s2s2+4, because L{1}=1sandL{sin(at)}=as2+a2.

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