Difference between revisions of "2023 SSMO Relay Round 1 Problems"
(Created page with "==Problem 1== Compute the remainder when <math>2022^{2021^{2020^{\dots}}}</math> is divided by <math>2023</math>. Solution ==P...") |
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Let <math>T=</math> TNYWR. Find the number of solutions to the equation | Let <math>T=</math> TNYWR. Find the number of solutions to the equation | ||
− | + | <cmath>\sec^{N} (Nx) - \tan^{N}(Nx) = 1</cmath> | |
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such <math>0 \le x \le \pi</math> | such <math>0 \le x \le \pi</math> | ||
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[[2023 SSMO Relay Round 1 Problems/Problem 3|Solution]] | [[2023 SSMO Relay Round 1 Problems/Problem 3|Solution]] |