Specify point singularities

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I have problem with point singularities at $\infty$. For example: Determine the nature of the point at infinity functions. For zero or pole enter times. we have function $f(z)=\frac{z-\frac{\pi}{2}}{cosz}$. So in this function we have regular point at $\frac{\pi}{2}$ times one. And I don't know how to determine this point at infity function. Can someone explain me?