SOLUTION: Find all solutions to the equation tan(t)=3/tan(t) in the interval 0≤t≤2π. First estimate the solutions from a graph, then find exact answers (given as fractions,
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Question 995822: Find all solutions to the equation tan(t)=3/tan(t) in the interval 0≤t≤2π. First estimate the solutions from a graph, then find exact answers (given as fractions, not decimals). Enter your answers as a comma separated list.
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Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all solutions to the equation tan(t)=3/tan(t) in the interval 0≤t≤2π. First estimate the solutions from a graph, then find exact answers (given as fractions, not decimals). Enter your answers as a comma separated list.
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tan^2(t) = 3
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tan(t) = sqrt(3)
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t = arctan(sqrt(3)) = 30 degrees or t = 180+30 = 210 degrees
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Cheers,
Stan H.
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Answer by ikleyn(52834) (Show Source): You can put this solution on YOUR website!
.
Find all solutions to the equation tan(t)=3/tan(t) in the interval 0≤t≤2π. First estimate the solutions from a graph, then find exact answers (given as fractions, not decimals). Enter your answers as a comma separated list.
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= 3.
tan(t) = +/- .
Solutions:
t = 60° or t = 240° <<<--- for tan(t) = , and
t = 120° or t = 300° <<<--- for tan(t) = .
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