SOLUTION: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
(2 cot t)2 = 12
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-> SOLUTION: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
(2 cot t)2 = 12
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Question 656629: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
(2 cot t)2 = 12 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.)
(2 cot t)2 = 12
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(2cot t)^2=12
4cot^2t=12
cot^2t=12/4=3
take sqrt of both sides
cot t=√3
t=π/6, 7π/6 (In quadrants I and III where cot>0)
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