Laplace Transform of cos(2t)
The Laplace transform of cos(2t) is s/(s^2 + 4). See the table rule behind it, then edit the function to transform anything else.
L{cos(2t)} = s/(s^2 + 4). With a = 2 the transform is s/(s² + 4).
Use t as the variable. Examples: t^3, e^(-2t), sin(3t), t*cos(2t), 4t^2+3. Write δ(t) as delta(t).
The result
L{cos(2t)} = s/(s^2 + 4)
- L{cos(2t)} = s/(s^2 + 4) Table rule: L{e^(at)cos(bt)} = (s − a)/((s − a)² + b²)
With a = 2 the transform is s/(s² + 4).
More trigonometric transforms
Other transforms
Frequently asked questions
What is the Laplace transform of cos(2t)? ▾
L{cos(2t)} = s/(s^2 + 4). With a = 2 the transform is s/(s² + 4).
Which rule gives the transform of cos(2t)? ▾
L{e^(at)cos(bt)} = (s − a)/((s − a)² + b²) applied to cos(2t).
How do I get back from F(s) to f(t)? ▾
Use the inverse Laplace transform. Split F(s) into partial fractions and invert each piece with the same table read backwards — the inverse Laplace transform calculator does this step by step.
About this Calculator
The Laplace transform of cos(2t) is s/(s^2 + 4). See the table rule behind it, then edit the function to transform anything else.