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)\"\" \"About 
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( "\"%283sinx%2Fcosx%29=2cosx\"
\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( "
\n" );