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 #239443 by Alan3354(69443) $\"\"$ $\"About$

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Find all values of t in the interval [0,2π] if cot t-3tan t=0
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\n" ); document.write( "cot(t) - 3tan(t) = 0
\n" ); document.write( "Multiply by tan(t)
\n" ); document.write( "1 - 3tan^2 (t) = 0
\n" ); document.write( "3tan^2(t) = 1
\n" ); document.write( "tan^2(t) = 1/3
\n" ); document.write( "tan(t) = ą sqrt(3)/3
\n" ); document.write( "t = 30 degs, 210 degs
\n" ); document.write( "t = pi/6, 7pi/6 radians
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