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Beliebt Rechnen >

laplacetransform sin(100t+30)

Lösung

laplace transformation

sin (100 t + 30)

Lösung

\frac{sin ( 30 ) s + 100 cos ( 30 )}{s ^{2} + 10000}

Schritte zur Lösung

L {sin (100 t + 30)}

Wende Laplace-Transformationstabelle an:

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

L {sin (100 t + 30)} = \frac{s sin ( 30 ) + 100 cos ( 30 )}{s ^{2} + 10 0 ^{2}}

= \frac{s sin ( 30 ) + 100 cos ( 30 )}{s ^{2} + 10 0 ^{2}}

= \frac{sin ( 30 ) s + 100 cos ( 30 )}{s ^{2} + 10000}

Beliebte Beispiele

limit as x approaches-infinity of (8x^2+7x^{1/3})/(sqrt(16x^4+6))

x \to - \infty lim (\frac{8 x ^{2} + 7 x ^{\frac{1}{3}}}{16 x ^{4} + 6})

derivative of (xe^{2x}+x^3^6)

\frac{d}{d x} ((x e^{2 x} + x^{3})^{6})

integral of 1/(2x-x^2)

\int \frac{1}{2 x - x ^{2}} d x

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d er i v a t i v e f (x) = - 3 sin (3 x)

integral of 1/(7x^2-8)

\int \frac{1}{7 x ^{2} - 8} d x