Difference between revisions of "2022 AIME I Problems/Problem 4"
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Write <math>i=e^{i\frac{\pi}{2}}</math>, it turns to: <math>\frac{\pi}{6}(3+r)=\frac{4n\pi}{6}</math>, so <math>3+r=4s+12k</math> | Write <math>i=e^{i\frac{\pi}{2}}</math>, it turns to: <math>\frac{\pi}{6}(3+r)=\frac{4n\pi}{6}</math>, so <math>3+r=4s+12k</math> | ||
Revision as of 17:34, 17 February 2022
solution 1
Write 
, it turns to: 
, so 
it follows a pattern that 
has 9 values; 
8 values and 
8 values.
So the answer is 
~bluesoul
