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The Laplace transform of F(t) = sin(2t)cos(2t) is ______________ (a) \frac{4}{2(s^2+16)} (b) \frac{1}{s+4} – \frac{2}{s+2} + \frac{1}{s} (c) \frac{2}{s^3} (d) \frac{1}{2s} + \frac{s}{2(s^2+36)} This question was posed to me in examination. The above asked question is from Problems on Initial and Final Value Theorem in chapter Application of the Laplace Transform in Circuit Analysis of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

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Right choice is (a) \frac{4}{2(s^2+16)} Explanation: Using the Trigonometric Identity, We get, sin (2t) cos (2t) = \frac{1}{2} (sin (4t)) ∴L {sin (2t) cos (2t)} = \frac{4}{2(s^2+16)} .

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