grandes-ecoles 2010 QI.A.4

grandes-ecoles · France · centrale-maths1__pc Not Maths

For every integer $n \in \mathbb{N}$, we set $F_n(x) = \cos(n \arccos x)$.
Write a function \texttt{chebyshev} that takes as argument an integer $n$ and returns the display of the expression $F_n(x)$. Use the programming language associated with the usual computer algebra software.

For every integer $n \in \mathbb{N}$, we set $F_n(x) = \cos(n \arccos x)$.

Write a function \texttt{chebyshev} that takes as argument an integer $n$ and returns the display of the expression $F_n(x)$. Use the programming language associated with the usual computer algebra software.

Paper Questions

QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.A.5 QI.B.1 QI.B.2 QI.B.3 QI.C.1 QI.C.2 QI.C.3 QI.C.4 QII.A.1 QII.A.2 QII.A.3 QII.A.4 QII.A.5 QII.B.1 QII.B.2 QII.B.3 QII.C QIII.A.1 QIII.A.2 QIII.B.1 QIII.B.2 QIII.B.3 QIII.C.1 QIII.C.2 QIII.C.3 QIII.D.1 QIII.D.2