document.write( "Question 683120: Please solve equation in radians for all exact solutions. Show all work
\n" ); document.write( " {{2√3cos(x/2)=-3}} \n" ); document.write( "

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Please solve equation in radians for all exact solutions. Show all work
\n" ); document.write( "{{2√3cos(x/2)=-3}}
\n" ); document.write( "2√3cos(x/2)=-3
\n" ); document.write( "cos(x/2)=-3/(2√3)=-3√3/2*3=-√3/2
\n" ); document.write( "cos(x/2)=-√3/2
\n" ); document.write( "x/2=5π/6+2πk and 7π/6+2πk, k=integer (in quadrants II and III where cos<0)
\n" ); document.write( "x=5π/3+2πk and 7π/3+2πk, k=integer \n" ); document.write( "

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