Question

Find the Laplace transform of \(f(t)=\sin 2t \sin 3t\).

• A. \(\dfrac{12s}{(s^2+4)(s^2+9)}\)
• B. \(\dfrac{12s}{(s^2+1)(s^2+9)}\)
• C. \(\dfrac{12s}{(s^2+1)(s^2+25)}\)
• D. \(\dfrac{12s}{(s^2+4)(s^2+25)}\)

Hint:

For products like \(\sin A\sin B\), first convert them using trigonometric identities, then apply the standard Laplace transform formula.

Answer 1

The Correct Option is C