Define the range of x values

x$\_$values $=$ linspace$(0,$ pi$,100)$;

$\%$ Calculate y $=$ cos$($x$)$ and z $=(1-$ x$^2)/(2+$ x$^4/24)$

y$\_$values $=$ cos$($x$\_$values$)$;

z$\_$values $=(1-$ x$\_$values.$^2)./(2+$ x$\_$values.$^4/24)$;

$\%$ Plot the first curve $($y $=$ cos$($x$))$

plot$($x$\_$values, y$\_$values, $\text{'}$b$-\text{'},$ 'LineWidth', $2)$;

hold on;

$\%$ Plot the second curve $($z $=(1-$ x$^2)/(2+$ x$^4/24))$ with dashed line

plot$($x$\_$values, z$\_$values, $\text{'}$r$--\text{'},$ 'LineWidth', $2)$;

$\%$ Add labels and a legend

xlabel$(\text{'}$x$\text{'})$;

ylabel$(\text{'}$y and z$\text{'})$;

title$(\text{'}$Plot of y $=$ cos$($x$)$ and z $=\backslash$frac$\{1-$ x$^2\}\{2+$ x$^4/24\}\text{'})$;

legend$(\text{'}$y $=$ cos$($x$)\text{'},\text{'}$z $=\backslash$frac$\{1-$ x$^2\}\{2+$ x$^4/24\}\text{'},$ 'Location', 'Best'$)$;

$\%$ Show the grid

grid on;

$\%$ Turn off the hold

hold off;