document.write( "Question 457930: how to solve 3cot^2 x-4csc x=1 on the interval 0≤x≤2∏ \n" ); document.write( "
Algebra.Com's Answer #314215 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve 3cot^2 x-4csc x=1 on the interval 0≤x≤2∏ \n" ); document.write( "---- \n" ); document.write( "3(csc^2-1)-4csc = 1 \n" ); document.write( "--- \n" ); document.write( "3csc^2 -4csc -4 = 0 \n" ); document.write( "--- \n" ); document.write( "Factor: \n" ); document.write( "3csc^2-6csc+2csc-4 = 0 \n" ); document.write( "--- \n" ); document.write( "3csc(csc-2)+2(csc-2) = 0 \n" ); document.write( "---- \n" ); document.write( "(csc-2)(3csc+1) = 0 \n" ); document.write( "csc(x) = 2 or csc(x) = -1/3 \n" ); document.write( "---------------------------------- \n" ); document.write( "x = pi/4 or (3/4)pi and csc^(-1/3) does not exist \n" ); document.write( "====================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |