# Averaged trig function with varying phase

1. May 1, 2012

### physicsjock

hey,

If you have say,

cos(x+β)

where β is the phase and it fluctuates randomly (not just small fluctuations large ones) between 0 and 2∏

the average value of cos(x+β) would still be 0 right?

thanks

2. May 1, 2012

### tiny-tim

hey physicsjock!

yes, provided that by "random" you mean that the distribution of ß is equally dense along the whole of [0,2π]