Differential Cartesian Coordinates Into Cylindrical Coordinates

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Has to convert B6-1 into B6-2 Source Transport Phenomenon 2nd ed -

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I can't even start solution
No idea how to convert subscipt from vx to vr and or to vtheta?
 
In the first equation: substitute Vx = Vr * Cos (theta) Vy = Vr * Sin (theta) Vz = Vz

but how do I get V(theta)