The Newton-Raphson method is a method for calculating roots of non-linear equations.
Exactly what non-linear equation are you trying to solve ?
given f(x)=c where c is a real valued constant f(x)=cos(x) when mod(x)<=1 and f(x)=cos(x)+(x^2-1)^2 when mod(x)>=1
for a given c show that x(n)=(-1)^n, where x(0)=1
also discuss the convergence of this approximation
i applied the newton raphson method but not getting anywhere near x(n)=(-1)^n