Use Python $($Sympy$)$ to solve each problem.

$1.$ Ask the user whether they would like to graph a sine or secant function, then ask them to enter an a$,$ b$,$ c$,$ and d value based on the general $"$a$*$sin$($bx $$ c$)+$ d$"$ or $"$a$*$sec$($bx $$ c$)+$ d$"$ form. Use y $=2$ sin $($pi$*$x $3$pi$/4)+5$ as your first output.

$($a$)$ Display the graph of the given function on $[0,2$pi$).$ Use a y$-$limit of $(10,10).$

$($b$)$ Print the range of each function. $($Hint: use the ampitude and vertical shift to determine the maximum and minimum y$-$values$)$

$($c$)$ Print the period of the graph.

$($d$)$ If a phase shift exists, print the direction and distance of the shift.

$($e$)$ Rerun all of your code using y $=4$ sec $(3$x $$ pi $)+2$