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I just found out that cos(z) and sin(z) are unbounded and tend to ∞ which I find strange ! But the part i'm struggling with is that I can't reconcile that fact with the fact that they both have a period of 2pi. Surely that means that each value in the range 0-2pi is repeated in the range 2pi-4pi and so on ?

Thanks

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# Unboundness and periodicity for complex trig functions

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