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

Algebra ->  Trigonometry-basics -> 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      Log On


   



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) About Me  (Show Source):
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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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(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