SOLUTION: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.) (6 cot t)2 = 108

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Question 498897: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
(6 cot t)2 = 108

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
(6 cot t)2 = 108
**
(6 cot t)^2=108
take sqrt of both sides
6 cot t=√108=√(36*3)=6√3
cot t=6√3/6=√3
t=π/6, 7π/6

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