First using a trigonometric identity, find L{f(t)} f(t)=sin⁡2tcos⁡2t

Trent Carpenter

Trent Carpenter

Answered question


First using a trigonometric
identity, find L{f(t)}

Answer & Explanation

Arham Warner

Arham Warner

Skilled2021-09-10Added 102 answers

Linearity Property: suppose f1(p)andf2(p) are Laplace transformations of F1(t)andF2(t) respectively. Then:
Also, L{sinat}=ap2+a2
Given, f(t)=sin2tcos2t
We have to find L{f(t)} i.e. the Laplace Transformation of giveb f(t).
Taking Laplace transformation on both sides,
The required solution L{f(t)}=2p2+42

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