# Switching the axis of a plot [duplicate]

How can I transpose x and y axis on a Plot?

I have a plot but the x and y axis need to be switched. The problem is that I can’t explicitly solve for the other so I can change the axis.

e = .65;

Ec[M_] = M +
Sum[(1/2^(n – 1)*
Sum[((-1)^k*(n – 2*k)^(n – 1))/((n – k)!*k!)*
Sin[(n – 2*k)*M], {k, 0, Floor[n/2]}])*e^n, {n, 1, 3}]
Plot[Ec[M], {M, 0, 2 \[Pi]},
PlotRange -> {{0, 2 \[Pi]}, {0, 2 \[Pi]}}]

Basically, I want Ec to be on the x axis and M the y axis. As of right now, they are swapped.

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Per J.M.s suggestion, the solution to the problem is:

e = .65;

Ec[M_] = M +
Sum[(1/2^(n – 1)*
Sum[((-1)^k*(n – 2*k)^(n – 1))/((n – k)!*k!)*
Sin[(n – 2*k)*M], {k, 0, Floor[n/2]}])*e^n, {n, 1, 10}];
ParametricPlot[{Ec[M], M}, {M, 0, 2 \[Pi]},
PlotRange -> {{0, 2 \[Pi]}, {0, 2 \[Pi]}}, GridLines -> Automatic,
PlotStyle -> Red]

Excellent. {}
– J. M.♦
May 27 ’13 at 3:50

@MichaelE2 not for another day.
– dustin
May 27 ’13 at 23:31

OK – just wanted to make sure you knew. Sorry to be a bother.
– Michael E2
May 28 ’13 at 0:46