Finding the Phase Shift of a Function.

**rgrimm01** · November 9th 2009, 05:25 PM

I have the function (1/37)cos3t+(6/37)sin3t. I am asked to find the amplitude, which I found quite easily, and the phase shift, which I am having trouble finding. Any help, even a little nudge in the general direction of the answer, would help. Thanks in advance.

**CaptainBlack** · November 9th 2009, 10:48 PM

Originally Posted by rgrimm01

I have the function (1/37)cos3t+(6/37)sin3t. I am asked to find the amplitude, which I found quite easily, and the phase shift, which I am having trouble finding. Any help, even a little nudge in the general direction of the answer, would help. Thanks in advance.

You rewrite this in the form:

$<br /> A \sin(\omega t+\phi)<br />$

using trig (the $\sin$ may be a $\cos$ if you are measuring phase shift wrt $\cos$ rather than $\sin$ )

Then $A$ is the amplitude and $\phi$ is the phase.

CB

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