ListPlot - Challenge Question

1. You can have lists not only of numbers, but of graphs. Extract the plot of sin(2πx).

triglist=Table[{Plot[Cos[n π x],{x,0,2π},PlotLabel->Cos[n π x]],Plot[Sin[n π x],{x,0,2π},PlotLabel->Sin[n π x]]},{n,0,5}]

triglist[[3,2]]

2. Alter the code in ‘triglist2’ so the plotlabel is as shown below.

What is required is inserting inverted commas so that Mathematica treats 5.5π as a symbol, otherwise it will multiply 5.5 by π and give a decimal approximation.

triglist2={Plot[Cos[5.5 π x],{x,0,2π},PlotLabel->Cos["5.5π" x]],Plot[Sin[5.5π x],{x,0,2π},PlotLabel->Sin["5.5π" x]]}

Plotlabel:

3. Sometimes it is necessary to add additional elements to a list. Attach ‘triglist2’ to the end of ‘triglist’.

Append[triglist,triglist2]