document.write( "Question 334139: Find all values of t in the interval [0,2π] if cot t-3tan t=0 \n" ); document.write( "
Algebra.Com's Answer #239441 by Edwin McCravy(20060)\"\" \"About 
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Find all values of t in the interval [0,2π] if \"cot%28t%29-3%2Atan%28t%29=0\"
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document.write( "\"Cot%28t%29-3%2ATan%28t%29=0\"\r\n" );
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document.write( "Use the identity \"Tan%28theta%29=1%2FCot%28theta%29\"\r\n" );
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document.write( "\"Cot%28t%29-3%2A%281%2FCot%28t%29%29=0\"\r\n" );
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document.write( "Multiply through by \"Cot%28t%29\"\r\n" );
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document.write( "\"Cot%5E2%28t%29-3=0\"\r\n" );
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document.write( "\"Cot%5E2t=3\"\r\n" );
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document.write( "Use the principle of square roots:\r\n" );
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document.write( "\"Cot%28t%29=%22%22+%2B-+sqrt%283%29\"\r\n" );
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document.write( "The solutions are all angles with a reference angle of \"pi%2F6\"\r\n" );
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document.write( "\"pi%2F6\", \"5pi%2F6\", \"7pi%2F6\", \"11pi%2F6\"\r\n" );
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document.write( "Edwin
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