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2023 SSMO Relay Round 1 Problems/Problem 3

Revision as of 21:28, 15 December 2023 by Pinkpig (talk | contribs) (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

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

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