Hi, I'm trying to find the laplace transform of the following function: f(t) = cos(at+b) I'm having trouble with eulers identity: I know exp(iat) = cos(at) + isin(at) I don't know if exp(iat+b) = cos(at+b) + isin(at+b) thx 4 help
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I calculated as if what I said earlier was true, I get: sexp(b) / (s^2+a^2) can anyone confirm? thx
Originally Posted by Provoke Hi, I'm trying to find the laplace transform of the following function: f(t) = cos(at+b) I'm having trouble with eulers identity: I know exp(iat) = cos(at) + isin(at) I don't know if exp(iat+b) = cos(at+b) + isin(at+b) thx 4 help $\displaystyle \cos (at + b) = \frac{1}{2} \left( e^{i(at + b)} + e^{-i(at + b)}\right)$. Originally Posted by Provoke I calculated as if what I said earlier was true, I get: sexp(b) / (s^2+a^2) can anyone confirm? thx This is not correct. The correct answer is $\displaystyle \frac{s \cos (b) - a \sin (b)}{s^2 + a^2}$.
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