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CoordinatesToCartesian

CoordinatesToCartesian[pt]
gives the Cartesian coordinates of the point pt given in the default coordinate system.
CoordinatesToCartesian[pt, coordsys]
gives the Cartesian coordinates of the point given in the coordinate system coordsys.
Needs["VectorAnalysis`"]
Find the Cartesian coordinates for a point in space whose cylindrical coordinates are given:
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Out[2]=
Transform back to cylindrical coordinates:
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Click for copyable input
Out[3]=