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This tag is used to refer to mathematical/probabilistic/statistical modeling questions, usually this tag is used to ask about questions that are related with the mathematical formalism of the model instead of the correctness of a specific model in practice.
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Resultant probability distribution when taking the cosine of gaussian distributed variable
For $y=\cos(x)$, the CDF of $y$
\begin{array}{l}
F_Y \left( y \right) = \left\{ {\begin{array}{*{20}l}
{0,y < - 1} \\
{P\left( {2k\pi + \arccos y \le x \le 2\left( {k + 1} \right)\pi - \ar …