SOLUTION: Find all t in the interval [0, 2π] satisfying tan t - 3cot t = 0

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Question 362476: Find all t in the interval [0, 2π] satisfying tan t - 3cot t = 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28t%29-3cot%28t%29=0
tan%28t%29=3cot%28t%29
tan%28t%29=3%2Ftan%28t%29
%28tan%28t%29%29%5E2=3
tan%28t%29=0+%2B-+sqrt%283%29
tan%28t%29=sqrt%283%29 when t=pi%2F3 and t=%284%2Api%29%2F3
tan%28t%29=-sqrt%283%29 when t=%285%2Api%29%2F3 and t=%282%2Api%29%2F3