def f(x)
   x - Math.cos(x)
end

def fp(x)
   1.0 + Math.sin(x)
end

x = 1.0
n = 5

x = Float(x)
print "x0 = ", x, "\n"
for i in (1..n) do
   x = x - f(x) / fp(x)
   print "x" + i.to_s() + " = ", x, "\n"
end