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Find the Laplace transform of the function f(t) = cos2t.(a) (2s^2+4)/2s(s^2-4)(b) (2s^2-4)/2s(s^2-4)(c) (2s^2-4)/2s(s^2+4)(d) (2s^2+4)/2s(s^2+4)This question was posed to me in an international level competition.This intriguing question originated from Operational Transforms topic in chapter Intoduction to the Laplace Transform of Network Theory

Answer»

Right CHOICE is (d) (2S^2+4)/2s(s^2+4)

The explanation: The Laplace transform of the FUNCTION f(t) = cos2t is L (cos2t) = L((1+cos2t)/2) = L(1/2)+L(cos2t/2)= 1/2[L(1)+L(cos2t)] = (2s^2+4)/2s(s^2+4).



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