document.write( "Question 681513: find all values x over the interval (0, 2pi), for the equation y=sqrt(3)tan(x)=1 \n" ); document.write( "
Algebra.Com's Answer #422700 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! find all values x over the interval (0, 2pi), \n" ); document.write( "for the equation sqrt(3)tan(x)=1\r \n" ); document.write( "\n" ); document.write( "----- \n" ); document.write( "tan(x) = 1/sqrt(3) \n" ); document.write( "---- \n" ); document.write( "Draw a 30-60-90 right triangle. \n" ); document.write( "Let the side opposite the 30 degree angle be \"1\". \n" ); document.write( "Then hypotenuse = 2 \n" ); document.write( "And base = sqrt(3) \n" ); document.write( "--- \n" ); document.write( "Notice that tan(30) = 1/sqrt(3) \n" ); document.write( "So pi/6 is one of your answers. \n" ); document.write( "--- \n" ); document.write( "The corresponding angle in QIII is 210 degrees or (7/6)pi \n" ); document.write( "that is your other angle solution. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |