de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

laplacetransform sin(t+pi/3)

Lösung

laplace transformation

sin (t + \frac{π}{3})

Lösung

\frac{3 s + 1}{2 ( s ^{2} + 1 )}

Schritte zur Lösung

L {sin (t + \frac{π}{3})}

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 + \frac{π}{3})} = \frac{s sin ( \frac{π}{3} ) + 1 \cdot cos ( \frac{π}{3} )}{s ^{2} + 1 ^{2}}

= \frac{s sin ( \frac{π}{3} ) + 1 \cdot cos ( \frac{π}{3} )}{s ^{2} + 1 ^{2}}

= \frac{3 s + 1}{2 ( s ^{2} + 1 )}

Beliebte Beispiele

derivative f(x)=-3

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

integral from-2 to 1 of x

\int_{- 2}^{1} x d x

(dy)/(dx)=e^{2x+5y}

\frac{d y}{d x} = e^{2 x + 5 y}

derivative of (x^2-9x+7/(x^2+9))

\frac{d}{d x} (\frac{x ^{2} - 9 x + 7}{x ^{2} + 9})

derivative 10tan^2(6x)

d er i v a t i v e 10 tan^{2} (6 x)