Conical Pendulum — Can it rotate at 90 degrees?

I have a simple question, can you spin a conical pendulum fast enough so that it rotates at 90 degrees?

The equation is $\tan(\theta)=v^2/rg$ , but at 90 degrees, $\tan(\theta)=\infty$ ... so what does this mean? Please provide supporting data.

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Firstly, $tan(\theta) = \frac{v^2}{rg}$ means that as you increase the centrepital velocity, $v$, of the pendulum, the angle between the rope and the vertical increases. Now as the pendulum gets faster and faster, the angle gets larger and larger but never exceeds 90 degrees. I will not provide supporting data, as the above equation is all the data you need.