Plotting two functions with a common variable against one another

Questions
1

If I have a function Z[V] and a function P[V] but Z[P] is not readily solvable analytically, how can I plot Z[V] vs P[V]?

2

may be ParametricPlot

z[v_] := Sin[v] + 2 v
p[v_] := Cos[v]
ParametricPlot[{z[v], p[v]}, {v, -2 Pi, 2 Pi}]