Find the inverse Laplace transform of X(s) = \(\frac{s}{s^2 a^2+b^2}\).

• A. \(\frac{1}{a^2} \,cos⁡(\frac{a}{b})t\)
• B. \(\frac{1}{a^2} \,cos⁡(\frac{b}{a})t\)
• C. \(\frac{1}{a^2} \,sin⁡(\frac{b}{a})t\)
• D. \(\frac{1}{a^2} \,sin⁡(\frac{a}{b})t\)