# Graphing more than one expression MathCad Help

Just as you can graph several expressions on a single Cartesian (X- Y) plot, you can graph several expressions on the same polar plot. Each expression generates a trace. A polar plot can show several r expressions against the same 8 expression, or it can match up several r expressions with corresponding 8 expressions.

To graph several r expressions versus one 8 expression, enter the first r expression followed by a comma. You’ll see a placeholder immediately below this first expression. Enter the second expression here, followed by another comma to get another empty placeholder. All the expressions should use the same range variable, How to define an angular range in degrees.

Polar plot with multiple expressions.

To graph several independent curves on the same polar plot, enter two or more expressions separated by commas in the angular axis placeholder and the same number of expressions in the radial axis placeholder. For example, to plot r(El) against Eland s(<I» against <I> you could type “r(El), s(<I»” in one placeholder and “B, <1>” in the other. Mathcad matches the expressions in pairs-r(El) with Eland s(<I» with <1>. It then draws a trace for each pair. Each matching pair of expressions should use the same range variable. The range variable for one pair need not match the range variables for the other pairs.

As with x-y plots, you can plot one vector of values against another, using a range variable to index the two vectors.

Polar plot with multiple expressions.

Posted on November 20, 2015 in Polar Plots