laplacetransform sin(t-8)

Lösung

laplace transformation

sin (t - 8)

\frac{- sin ( 8 ) s + cos ( 8 )}{s ^{2} + 1}

Schritte zur Lösung

L {sin (t - 8)}

Wende Laplace-Transformationstabelle an:

L {sin (a t + b)} = \frac{s \cdot sin ( b ) + a \cdot cos ( b )}{s ^{2} + a ^{2}}

L {sin (t - 8)} = \frac{s sin ( - 8 ) + 1 \cdot cos ( - 8 )}{s ^{2} + 1 ^{2}}

= \frac{s sin ( - 8 ) + 1 \cdot cos ( - 8 )}{s ^{2} + 1 ^{2}}

= \frac{- sin ( 8 ) s + cos ( 8 )}{s ^{2} + 1}

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