# Probability distribution function with arctan

1. Dec 15, 2008

### aus_fas

Hi I have a function $$\phi =arctan(Y/X)$$ where, X$$\sim \mathcal{N}(A\cos \theta, v)$$ and Y$$\sim \mathcal{N}(A\sin \theta,v)$$. I want to find
pdf (probability distribution) of $$\phi$$. Any suggestions ?

2. Dec 16, 2008

### tiny-tim

Last edited by a moderator: Apr 24, 2017