document.write( "Question 656629: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
\n" );
document.write( "(2 cot t)2 = 12 \n" );
document.write( "
Algebra.Com's Answer #409567 by lwsshak3(11628)![]() ![]() ![]() 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.) \n" ); document.write( "(2 cot t)2 = 12 \n" ); document.write( "** \n" ); document.write( "(2cot t)^2=12 \n" ); document.write( "4cot^2t=12 \n" ); document.write( "cot^2t=12/4=3 \n" ); document.write( "take sqrt of both sides \n" ); document.write( "cot t=√3 \n" ); document.write( "t=π/6, 7π/6 (In quadrants I and III where cot>0) \n" ); document.write( " |