The Laplace transform of $\cos t$ is
A) $1 / ( s - 1 )$
B) $s / \left( s ^ { 2 } - 1 \right)$
C) $s / \left( s ^ { 2 } + 1 \right)$
D) $1 / \left( s ^ { 2 } - 1 \right)$
E) $1 / \left( s ^ { 2 } + 1 \right)$

Question

Quizplus · Accepted Answer

The Laplace transform of $\cos t$ is given by $L\{\cos t\} = s / (s^2 + 1)$, which matches choice C. This is derived from the standard Laplace transform formulas.

The Laplace Transform Of cos⁡t\cos tcost Is A) 1/(s−1)1 / ( s - 1 )1/(s−1)

The Laplace Transform Of $\cos t$ Is
A) $1 / ( s - 1 )$