document.write( "Question 933554: 2secēθ+5tanθ=3 \n" ); document.write( "
Algebra.Com's Answer #569759 by stanbon(75887) ![]() You can put this solution on YOUR website! 2secēθ + 5tanθ = 3 \n" ); document.write( "-------- \n" ); document.write( "2(1+tan^2) + 5tan = 3 \n" ); document.write( "--------- \n" ); document.write( "2 + 2tan^2 + 5tan = 3 \n" ); document.write( "--------- \n" ); document.write( "2tan^2 + 5tan -1 = 0 \n" ); document.write( "--------- \n" ); document.write( "tan = [-5 +- sqrt(25-5*2*-1)]/2 \n" ); document.write( "-------------- \n" ); document.write( "tan = [-5+-sqrt(35)]/2 \n" ); document.write( "---------------- \n" ); document.write( "tan(t) = 0.4580 or tan(t) = -5.458 (extraneous) \n" ); document.write( "--- \n" ); document.write( "t = arctan(0.4580) = 24.61 degrees \n" ); document.write( "-------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------- \n" ); document.write( " \n" ); document.write( " |