document.write( "Question 443396: What value of x in the interval 0° ≤ x ≤ 180° satisfies the equation sqrt3 tan x + 1 = 0 \n" ); document.write( "
Algebra.Com's Answer #305830 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What value of x in the interval 0° ≤ x ≤ 180° \n" ); document.write( "satisfies the equation sqrt3 tan x + 1 = 0 \n" ); document.write( "----- \n" ); document.write( "sqrt(3)tan(x) = -1 \n" ); document.write( "tan(x) = -1/sqrt(3) \n" ); document.write( "--- \n" ); document.write( "Take the tan^-1 of both sides to get: \n" ); document.write( "x = -30 degrees \n" ); document.write( "That angle is in the 4th Quadrant. \n" ); document.write( "--- \n" ); document.write( "For your problem the equivalent angle in the 2nd Quadrant \n" ); document.write( "would be x = 180-30 = 150 degrees \n" ); document.write( "----- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========== \n" ); document.write( " |