document.write( "Question 39356: Solve for all values of x if x is measured in degrees.
\n" ); document.write( "2cos^2x=3sinx
\n" ); document.write( "2(1-sin^2x)=3sinx
\n" ); document.write( "2-2sin^2x=3sinx
\n" ); document.write( "2sin^2x+3sinx-2=0
\n" ); document.write( "(2sinx-1)(sinx+2)=0
\n" ); document.write( "sinx=1/2 or sinx=-2
\n" ); document.write( "Sinx cannot equal -2
\n" ); document.write( "so, sinx=1/2
\n" ); document.write( "x=[30 +-n(360)]degrees and x=[(150)+-n(360)degrees]
\n" ); document.write( "These are all the solutions.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help! \n" ); document.write( "

Algebra.Com's Answer #24796 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
2cos^2x=3sinx
\n" ); document.write( "2(1-sin^2x)=3sinx
\n" ); document.write( "2-2sin^2x=3sinx
\n" ); document.write( "2sin^2x+3sinx-2=0
\n" ); document.write( "(2sinx-1)(sinx+2)=0
\n" ); document.write( "sinx=1/2 or sinx=-2
\n" ); document.write( "Sinx cannot equal -2
\n" ); document.write( "so, sinx=1/2
\n" ); document.write( "x=[30 +-n(360)]degrees and x=[(150)+-n(360)degrees]
\n" ); document.write( "These are all the solutions.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

\n" );