document.write( "Question 949907: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
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document.write( "(4 cot t)^2 = 48
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Algebra.Com's Answer #579973 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( "(4 cot t)^2 = 48 \n" ); document.write( "take sqrt of both sides \n" ); document.write( "4cot t=±√48=4±√3 \n" ); document.write( "cot t=(4±√3)/4 \n" ); document.write( ".. \n" ); document.write( "cot t=(4+√3)/4 \n" ); document.write( "t≈1.04, 4.18 (radians) (In quadrants I and III where cot>0) \n" ); document.write( ".. \n" ); document.write( "cot t=(4-√3)/4 \n" ); document.write( "t≈1.94, 4.34 (radians) (In quadrants II and IV where cot<0) \n" ); document.write( " |