Correct me if I'm wrong, but exist 3 forms for represent periodic functions, by sin/cos, by exp and by abs/arg.(adsbygoogle = window.adsbygoogle || []).push({});

I know that given an expression likea cos(θ) + b sin(θ), I can to corvert it inA cos(θ - φ)orA sin(θ + ψ)through of the formulas:

A² = a² + b²

tan(φ) = b/a

sin(φ) = b/A

cos(φ) = a/A

tan(ψ) = a/b

sin(ψ) = a/A

cos(ψ) = b/A

The serie fourier have other conversion, this time between exponential form and amplitude/phase

[tex]f(t)=\gamma_0+2\sum_{n=1}^{\infty } \gamma_n cos\left ( \frac{2 \pi n t}{T}+\varphi_n \right )[/tex]

##\gamma_0 = c_0##

##\gamma_n = abs(c_n)##

##\varphi_n = arg(c_n)##

I think that exist a triangular relation. Correct? If yes, could give me the general formulas for convert an form in other?

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# Representations of periodic functions

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