What is laplacetransform cos(2t+pi) ?

The answer to laplacetransform cos(2t+pi) is -s/(s^2+4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

laplacetransform cos(2t+pi)

laplace transform

cos (2 t + π)

- \frac{s}{s ^{2} + 4}

Solution steps

L {cos (2 t + π)}

Use Laplace Transform table:

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

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

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

= - \frac{s}{s ^{2} + 4}

What is laplacetransform cos(2t+pi) ?
The answer to laplacetransform cos(2t+pi) is -s/(s^2+4)