The following sequence comes from the recursion formula for Newton's Method.
x0= 1 , xn+1=xn-(tanxn-1)/sec2xn
Show if the sequence converges or diverge.
The Attempt at a Solution
I don't really know where to start on this problem, I have tried to use some trig identities to no avail, but I don't know what else to do. Any help is appreciated, thanks!