Iterating this formula in MATLAB and displaying iterations as a matrix

Firstly I am very grateful that you took the time to read this!

I have two sets of relevant information.

First of all, this recurrence formula:

$x_{n+1} = x_n - y_n \tan(\phi_{n+1})$ and $y_{n+1} = y_n _ x_n \tan(\phi_{n_1})$

With $x_0 = 1, y_0 = 0$

Now the $\phi_n$'s I have values for, which I found using a loop.

I am unsure how to incorporate these values of $\phi_n$s into an loop which computes the above recurrence formula.

Secondly, to calculate my $phi_n$'s, which I store in a 1x6 matrix B I Use:

format long

T = 1.047197551196598
for i= 1:6 % works fine with 6 iterations
   x = atan(10^(-i+1))
n = floor(T/x)
y(i) = n
m(i) = x
T = T - n*x   

end
% let A be a 1x8 matrix of the values y(i) from i=1 to i=8
A = [ 1,     2,     6,     2,     4, 6]
% let B be a 1x8 matrix of the values of m(i) for i=1 to i=8
B = [0.785398163397448,   0.099668652491162,   0.009999666686665,   0.000999999666667, 0.000099999999667, 0.000010000000000]
% check to see if our found integers multiplied respective basis work
dot(A,B)

So The matrix B has the values of $\phi$ eg: $phi_1 = 0.785398163397448$ $phi_2 = 0.099668652491162$ and so on.

Q1. I want to use the assigned values in the matrix $B$ for each step in my recurrence formula above.Is there a way to do this?

Q2. The matrix B I have, I copied and pasted the results manually from what m(i) gave me. Is there a way for m(i) to be output as a vector instead of a string of numbers (I hope I used the word "string" correctly)?