Mathematica: How to obtain data points plotted by plot command?

Question

When plotting a function using Plot, I would like to obtain the set of data points plotted by the Plot command.

For instance, how can I obtain the list of points {t,f} P

Answer 1

One way is to use EvaluationMonitor option with Reap and Sow, for example

In[4]:= 
(points = Reap[Plot[Sin[x],{x,0,4Pi},EvaluationMonitor:>Sow[{x,Sin[x]}]]][[2,1]])//Short

Out[4]//Short= {{2.56457*10^-7,2.56457*10^-7},<<699>>,{12.5621,-<<21>>}}