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  • 07-04-2018
  • Mathematics
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Find script l{f(t)} by first using a trigonometric identity. (write your answer as a function of s.) f(t) = sin 6t cos 6t

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Matheng
Matheng Matheng
  • 17-04-2018
∵ f(t) = sin 6t cos 6t = (0.5) * 2 sin 6t cos 6t
∴ f(t) = 0.5 sin 12t

∵ [tex]l(sin \ at) = \frac{a}{ s^{2} +a^2} [/tex]
∴[tex]l[f(t)] = l (0.5 \ sin \ 12t) = 0.5* \frac{12}{s^2+12^2} = \frac{6}{s^2+144} [/tex]
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