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    ParametricPlot[  {Table[{Cos[t] - Cos[n*t], Sin[t] - Sin[n*t]}, {n, 6, 10, 1}]}  , {t, 0, 8*Pi}, GridLines -> Automatic, Frame -> True,  PlotLegends -> "Expressions"]

What can't I see the PlotLegends.

enter image description here

Only if I separately execute it, then I can see them. Is there an easier way to do this? enter image description here

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    $\begingroup$ Please post CODE (not pictures of code). FOR ALL your code... including the code that generated the figures. $\endgroup$ – David G. Stork Mar 19 '18 at 22:39
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    $\begingroup$ Also note that you do not need to put Table in a list as it generates a list. $\endgroup$ – Edmund Mar 19 '18 at 22:45
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You have to Evaluate the Table so it "knows" what the expressions are:

ParametricPlot[
 Evaluate@Table[{Cos[t] - Cos[n t], Sin[t] - Sin[n t]},
   {n, 6, 10}],
 {t, 0, 8 \[Pi]},
 PlotLegends -> "Expressions"]

Also, you added unnecessary brackets around your Table.

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