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Find the Chebyshev rational approximation of degree 4 with m=n=2 for $f(x)=\sin(x)$ .

Now I do have a program that can evaluate this But its asking me to find the coefficients of the Chebyshev polynomial. So since its degree 5 then I must have 8 coefficients for some odd reason. How would I find the coefficients in the most efficient manner

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