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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Latest revision as of 22:28, 15 December 2023

Problem

Let $T=$ TNYWR. Find the number of solutions to the equation \[\sec^{N} (Nx) - \tan^{N}(Nx) = 1\] such $0 \le x \le \pi$

Solution