Is it necessary to use the same period of zlim and caxis when we plot the second order function and its cosin?

I am tried to plot the second order function (thank you very much for all who helped me to do that ) .

My question is

Is it necessary to use the same period of zlim and caxis when we plot the second order function and its cosin?

for example in the following figure, I used different periods for zlim([-5 5]) and caxis([-1 1]) . I know that I can adjust this value as needed, but, is the different values affect the accuracy of study the figure?

I appreciate any help.