In order to test your code, compute the root of the equation

$cos(x)=2sin(3x)$

using the initial guesses of $p_0=0,p_1=0\mathrm{.}25$ and $p_2=0\mathrm{.}5$ and with tolerance ${10}^{-6},$ create an

M$-$file script where you can call your program in $1)$ for this specific example.

Everything should work by simply running your M$-$file script. The output table should be

printed on the screen $($to $5$ significant figures$),$ and your program should create a plot of the used

function and a point representing the root.