# Does the transmission axis matter for sending polarized light through polarized glass?

If I have polarized light and I send through only one polarized glass plane, does the transmission axis matter, or will the intensity be halved no matter what.

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$$I_{\textrm{out}} = I_{\textrm{in}}\cos(\theta)^2$$
where $\theta$ is the angle between the polarizations of the ingoing light and the pane, and $I_{\textrm{in}}$ is the intensity of the input light.
Note that if $\theta=\pi/4$ we get $I_{\textrm{out}}=I_{\textrm{in}}/2$.