It is a matlab question, for coding, what code do i need to type on math lab for part a

03. Let n be a natural number, and define T,(z) = cos (n cos-1(r)), as! - Recall that cos( is the inverse function of cos(). Its domain is -1,1], and its range is 10, ] a. Display in the same plot the graphs of T.(x), i-1, 2, 3, 4, 5 b. Show that T, (x) is a polynomial of degree n. T, (x) is known as the degree n Chebyshev polynomial Hint: Make use of the identity cos ((n + 1) ) + cos ((n-1) ) = 2 cos(0) cos(n0) to show that T+1(x)-2r T, (x) -T1(x) Find the roots c. Sis of T, ()