most recent 30 from http://mathoverflow.net 2013-05-21T13:37:28Z http://mathoverflow.net/feeds/user/8391 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/35260/resultant-probability-distribution-when-taking-the-cosine-of-gaussian-distributed Shannon Edwards 2010-08-11T18:06:23Z 2013-05-17T22:20:07Z

<p>I am trying to do a measurement uncertainty calculation. I have a gaussian distributed phase angle (theta) with a mean of 0 and standard deviation of 16.6666 micro radians. The variance is the square of the standard. The formula for the measurment uses cos(theta) in the calculation. I need to know the mean, the variance and the distribution function that result from taking the cosine of theta in order to do my calculations correctly. </p>