document.write( "Question 884511: solve equation for 0 degrees < or equal to x < or equal to 360 degrees\r
\n" );
document.write( "\n" );
document.write( "3tanx=2cosx \n" );
document.write( "
Algebra.Com's Answer #534372 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! solve equation for 0 degrees < or equal to x < or equal to 360 degrees \n" ); document.write( "solve for x: (0 < x < 360˚) \n" ); document.write( "3tanx=2cos \n" ); document.write( " \n" ); document.write( "3sinx=2cos^2x=2(1-sin^2x)=2-2sin^2x \n" ); document.write( "2sin^2x+3sinx-2=0 \n" ); document.write( "(2sinx-1)(sinx+2)=0 \n" ); document.write( ".. \n" ); document.write( "2sinx-1=0 \n" ); document.write( "sinx=1/2 \n" ); document.write( "x=30˚, 150˚ \n" ); document.write( ".. \n" ); document.write( "sinx+2=0 \n" ); document.write( "sinx=-2 (reject, (-1 ≤ sinx ≤ 1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |