document.write( "Question 682511: solve the equation in radians for all exact solutions.\r
\n" ); document.write( "\n" ); document.write( "2sqrt( 3 )cos(x/2)=-3 \n" ); document.write( "
Algebra.Com's Answer #423252 by lwsshak3(11628)\"\" \"About 
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solve the equation in radians for all exact solutions.
\n" ); document.write( "2sqrt( 3 )cos(x/2)=-3
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\n" ); document.write( "2√3cos(x/2)=-3
\n" ); document.write( "cos(x/2)=-3/(2√3)
\n" ); document.write( "Identity: cos(x/2)=±√[(1+cos x)/2]
\n" ); document.write( "±√[(1+cos x)/2]=-3/(2√3)
\n" ); document.write( "square both sides
\n" ); document.write( "(1+cos x)/2=9/12
\n" ); document.write( "1+cos x=18/12=3/2
\n" ); document.write( "cos x=3/2-1=1/2
\n" ); document.write( "x=π/3+2πk, 5π/3+2πk, k=integer
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