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## Homework Statement

Can't figure how to prove when both source and observer are moving that the observed frequency is the product of the two independent cases below..

## Homework Equations

We know individual cases when source is moving and observer is still, the observed frequency is equal to fs/(1-(vs/c)*cos(theta_s)) where fs is the source frequency and theta_s is the angle between the source velocity and observer

Conversely when observer is moving, the observed frequency is fs*(1+(vo/c)*cos(theta_o))

## The Attempt at a Solution

When you multiply both out, you get fo

^{2}=fs

^{2}*(c+vocos(theta_o))/(c-vscos(theta_s)) but they shouldnt be squared??