- #1
Fluidman117
- 34
- 0
Hello,
Probably a simple problem, but I am not able to figure it out.
[tex] a \cos (\epsilon) - b \sin (\epsilon) = c [/tex] in-phase part
[tex] a \sin (\epsilon) - b \cos (\epsilon) = d [/tex] out-of-phase part
In order to find the phase shift, the in-phase term has to be divided by the out-of-phase term?
[tex] \frac{a \cos (\epsilon) - b \sin (\epsilon) = c}{a \sin (\epsilon) - b \cos (\epsilon) = d} [/tex]
And the phase shift is the arctan of the out of phase and the in-phase term to my knowledge. But I am not able to manipulate the formula in a way that I'll get to an arctan. Can someone point me in the right direction?
Thanks
Probably a simple problem, but I am not able to figure it out.
[tex] a \cos (\epsilon) - b \sin (\epsilon) = c [/tex] in-phase part
[tex] a \sin (\epsilon) - b \cos (\epsilon) = d [/tex] out-of-phase part
In order to find the phase shift, the in-phase term has to be divided by the out-of-phase term?
[tex] \frac{a \cos (\epsilon) - b \sin (\epsilon) = c}{a \sin (\epsilon) - b \cos (\epsilon) = d} [/tex]
And the phase shift is the arctan of the out of phase and the in-phase term to my knowledge. But I am not able to manipulate the formula in a way that I'll get to an arctan. Can someone point me in the right direction?
Thanks