Show that every $ p\in P_n $ has a unique representation in the form
$ p\left(x\right)=A_0+A_1T_1\left(x\right)+...+A_nT_n\left(x\right) $
where $ T_i $ are Chebyshev polynomials.
[![enter image description here][1]][1]
is this true for this question? [1]: https://i.stack.imgur.com/Fsi1O.png
