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I'm trying to simulate a function that has a 1/cos(x) term. The value of 1/cos(x) tends to infinity as cos(x) approaches zero. Is there any way to smoothly approximate this function in order to avoid the jumps around pi/2 neighborhood? I'm looking for some sort of smoothing, but in real-time. Please help.
The function 1/cos(x) goes to infinity for |cos(x) -> 0|. There is absolutely no way to "smooth" this away. The results would be wrong from the view point of mathematical correctness. Even "real-time" is not the problem here.
If you have any good reason why the pole does not appear in the physical system (or what ever this formula describes), please mention it here.