Reciprocal cosine with accumulating poles (source code)

= Reciprocal cosine with accumulating poles

The function $1/\cos(1/z)$ has simple <poles> at $z=1/[\pi(n+1/2)]$, accumulating at zero. Its origin is therefore a <non-isolated singularity>, despite the underlying cosine of $1/z$ having an isolated essential singularity.