Difference between revisions of "2023 SSMO Relay Round 1 Problems/Problem 3"
(Created page with "==Problem== Let <math>T=</math> TNYWR. Find the number of solutions to the equation <cmath>\sec^{N} (Nx) - \tan^{N}(Nx) = 1</cmath> such <math>0 \le x \le \pi</math> ==Solut...") |
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==Problem== | ==Problem== | ||
| − | Let <math>T=</math> | + | Let <math>T=TNYWR</math>. Find the number of solutions to the equation |
| − | <cmath>\sec^{ | + | <cmath>\sec^{T} (Tx) - \tan^{T}(Tx) = 1</cmath> |
such <math>0 \le x \le \pi</math> | such <math>0 \le x \le \pi</math> | ||
==Solution== | ==Solution== | ||
Latest revision as of 11:23, 15 September 2025
Problem
Let 
. Find the number of solutions to the equation
![\[\sec^{T} (Tx) - \tan^{T}(Tx) = 1\]](http://latex.artofproblemsolving.com/5/e/d/5ed50f1e674d74b015125e05c7737794c09c34a1.png)
such 
