document.write( "Question 770559: Solve for theta 0 degrees < theta < 360 degrees. Sin(theta/2)+cos(theta)=1 \n" ); document.write( "
Algebra.Com's Answer #469595 by lwsshak3(11628)\"\" \"About 
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Solve for theta 0 degrees < theta < 360 degrees. Sin(theta/2)+cos(theta)=1
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\n" ); document.write( "sin(x/2)+cosx=1
\n" ); document.write( "sin(x/2)=±√((1-cosx)/2)
\n" ); document.write( "sin(x/2)=1-cosx
\n" ); document.write( "√((1-cosx)/2)=1-cosx
\n" ); document.write( "square both sides
\n" ); document.write( "(1-cosx)/2=1-2cosx+cos^2x
\n" ); document.write( "1-cosx=2-4cosx+2cos^2x
\n" ); document.write( "2cos^2x-3cosx+1=0
\n" ); document.write( "(2cosx-1)(cosx-1)=0
\n" ); document.write( "..
\n" ); document.write( "2cosx-1=0
\n" ); document.write( "cosx=1/2
\n" ); document.write( "x=π/3, 5π/3
\n" ); document.write( "..
\n" ); document.write( "cosx-1=0
\n" ); document.write( "cosx=1
\n" ); document.write( "x=0
\n" ); document.write( " \n" ); document.write( "
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