document.write( "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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Algebra.Com's Answer #614495 by ikleyn(52834) $\"\"$ $\"About$

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\n" ); document.write( " 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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\n" ); document.write( "\n" ); document.write( " $\"tan%5E2%28t%29\"$ = 3.\r
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\n" ); document.write( "\n" ); document.write( "tan(t) = +/- $\"sqrt%283%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Solutions: \r
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\n" ); document.write( "\n" ); document.write( "t = 60° or t = 240° <<<--- for tan(t) = $\"sqrt%283%29\"$ , and\r
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\n" ); document.write( "\n" ); document.write( "t = 120° or t = 300° <<<--- for tan(t) = $\"-sqrt%283%29\"$ .\r
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