document.write( "Question 712340: solve each equation\r
\n" ); document.write( "\n" ); document.write( "19) 1 + sin theta = 2cos^2 theta
\n" ); document.write( "

Algebra.Com's Answer #438002 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
1 + sin theta = 2cos^2 theta
\n" ); document.write( "1+sinx = 2cos^2x
\n" ); document.write( "1+sinx = 2(1-sin^2x
\n" ); document.write( "1+sinx = 2-2sin^2x
\n" ); document.write( "2sin^2x+sinx-1=0
\n" ); document.write( "(2sinx-1)(sinx+1)
\n" ); document.write( "2sinx-1=0
\n" ); document.write( "sinx=1/2
\n" ); document.write( "x=π/6, 5π/6 (in quadrants I and II where sin>0)
\n" ); document.write( "
\n" );