$5\mathrm{.}28$ Project $1-$ Function Calculator

This lab will be available until March $3$rd$,11$:$59$ PM EST

For Project $1,$ you will design and implement a program that has a selection menu of mathematical operations. The user should select an option from the printed menu to perform that specific operation. The program will echo the selected function back to the user and then ask for a desired input argument for the selected function. The program will then perform the operation and return the result. The functions required for this program include: $[1]$ sin$($x$),[2]$ cos$($x$),[3]$ tan$($x$),[4]$ sqrt$($x$),[5]$ ln$($x$),$ and $[6]$ factorial$($x$).$

Sample Menu:

Welcome to the ET $2100$ Function Calculator.

Please enter a selection $1-6.$

Enter 'quit' or 'exit' to end the session.

$[1]$ sin$($x$)$

$[2]$ cos$($x$)$

$[3]$ tan$($x$)$

$[4]$ sqrt$($x$)$

$[5]$ ln$($x$)$

$[6]$ factorial$($x$)$

Selection $>>>$

For trigonometric functions $($sine$,$ cosine, tangent$),$ the required input argument should be in degrees $($need to switch from default input of radians$).$ For sqrt$($x$)$ and ln$($x$),$ only use positive values. The final function, factorial$($x$),$ should accept integer values.

Process of execution:

Print the function menu and prompt user for a selection.

Take input and echo selection back to user.

Prompt user for input argument value.

Take and store input value for computation.

Perform appropriate operation based on menu selection.

Print the result.

Loop program to ask user for next operation.

Give user choice to "exit" or "quit" the program.

Your code will be evaluated through $10$ tests including: menu development, input selection, argument input, function computation, loop structure, and escape sequence.