document.write( "Question 334138: if t is in quadrant II and csc t=2, find the value of cot t. \n" ); document.write( "
Algebra.Com's Answer #239448 by jrfrunner(365)![]() ![]() You can put this solution on YOUR website! Quadrant II is where x=cost is negative and y=sint is positive \n" ); document.write( "--- \n" ); document.write( "csc(t) = 2; 1/sin(t)=2; sin(t)=1/2 therefore t=30 (actually 180-30=150) \n" ); document.write( "-- \n" ); document.write( "Cot(t)=cos(t)/sin(t) \n" ); document.write( "cot(150)=cos(150)/sin(150) = -cos(30)/sin(30)=(-sqrt(3)/2)/(1/2)=-sqrt(3) \n" ); document.write( " |