$5\mathrm{.}35$ Plot a Function $)$

Write a program to print a plot of $sin(x),$ from $x=x$ Min to $x=x$ Max, by first filling a $2-$dimensional array with characters and then printing the array. The following development steps are recommended, testing the program after each step as indicated:

Start with a $2-$dimensional array of chars of fixed size, say $60$ characters wide by $20$ high.

Call this array "plot"

Use variables nRows and nCols to keep track of the number of rows and columns respectively.

Adjust these suggested values as needed to get a plot that fills the screen nicely.

Write a doubly nested loop to fill the array with dots, and then another matching one to print the array.

Use loop variables $r$ and $c$ to loop through the rows and columns respectively.

Test that this much works before proceeding further. $($You should get a rectangle of dots.$)$

Add two loops to index numbers to the edges, just so you can see which direction things go$,$ and to check the sizes.

In one loop, replace the dots in the bottom row with the column number $\%10,$ so the string $0123456789$ repeats from left to right. Test the program.

In the second loop do something similar with the first column, so $0123456789$ repeats from bottom to top. Test again and confirm your dimensions.

$($Note that to print row $0$ at the bottom of the graph, the row loop will need to descend from NRows $-1$ to $0,$ which may be a change from what you did in step $2.)$

Ask the user for XMin and $x$ Max and read them in$.($Recommended value $0$ to $2$ pi$).$

Assuming that the left edge of the plot corresponds to XMin and the right edge to XMax, and that the bottom row is $-1\mathrm{.}0$ and the top row is $+1\mathrm{.}0,$ replace one character in each column with an $*,$ according to sine $(x)$ in that column.

deltaX Max $-x$ Min