I'm trying to solve the following: \begin{equation} A \cos(2\pi f t + \theta_1) + B \cos(2\pi f t + \theta_2) = D\cos(?f?\theta) \end{equation}

I just need to know the correct value of D, the value of frequency and delta is not important since it is non-coherent.

  • 1
    $\begingroup$ Link Search for "arbitrary phase shift"... $\endgroup$ – mateC Jan 21 at 10:20

$$A\cos(2\pi f+\theta_1)+B\cos(2\pi f+\theta_2)=C\cos(2\pi f+\theta_3)$$


$$C=|u|\quad\textrm{and}\quad \theta_3=\arg\{u\}$$



The constant $C$ can be written as



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