Probability Density Function for a Pendulum?

[bencmier]

What is the probability density equation as a function of angle for a simple pendulum using the small angle approximation?

I got 1/(2 pi θmax) sec(sqrt(g/L)t) but it doesn't seem right.

 

[HallsofIvy]

The probability density of what random variable?

 

[bencmier]

The probability density of what random variable?

"as a function of angle"