Find the Laplace transform of the signal x(t) = sin ( ( frac{t}{2} ))u( ( frac{t}{2} )).

• A. ( frac{1}{s^2+1} )
• B. ( frac{s}{s^2+1} )
• C. ( frac{2s}{(2s)^2+1} )
• D. ( frac{2}{(2s)^2+1} )