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## Homework Statement

(In Matlab) The variables w and z are related by w=cos(n*acos(z)) and z=cos(acos(w)/n) for n = 1,2,3,4 plot w vs z over domain (-1,1).

## Homework Equations

w=cos(n*acos(z))

z=cos(acos(w)/n)

## The Attempt at a Solution

First I tried to substitute z into w and thought since I have a function which calls itself I'd use a recursive function but I don't have the initial conditions. Then I thought that since the domain is (-1,1) and z would be plotted on that axis I could make z equal to an array with endpoints -1 and 1 and then plug that array in for w. Then I'd simply plot(z, w). The coding part is not difficult it's just the thought process behind it.