What is laplacetransform sin(t-pi) ?

The answer to laplacetransform sin(t-pi) is -1/(s^2+1)

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laplacetransform sin(t-pi)

laplace transform

sin (t - π)

- \frac{1}{s ^{2} + 1}

Solution steps

L {sin (t - π)}

Use Laplace Transform table:

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

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

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

= - \frac{1}{s ^{2} + 1}

What is laplacetransform sin(t-pi) ?
The answer to laplacetransform sin(t-pi) is -1/(s^2+1)