document.write( "Question 663634: Use a double-angle formula to simplify the equation
\n" ); document.write( "sin(2x)+cos(x)=0,and then find all solutions of the equation that lie in the interval [0,2\pi).\r
\n" ); document.write( "\n" ); document.write( "If there is more than one solution, enter the solutions in a list separated by commas. If necessary, enter pi as pi.
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Algebra.Com's Answer #412865 by lwsshak3(11628)\"\" \"About 
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Use a double-angle formula to simplify the equation
\n" ); document.write( "sin(2x)+cos(x)=0,and then find all solutions of the equation that lie in the interval [0,2\pi).
\n" ); document.write( "If there is more than one solution, enter the solutions in a list separated by commas.
\n" ); document.write( "**
\n" ); document.write( "sin2x+cosx=0
\n" ); document.write( "2sinxcosx+cosx=0
\n" ); document.write( "cosx(2sinx+1)=0
\n" ); document.write( "cosx=0
\n" ); document.write( "x=π/2, 3π/2
\n" ); document.write( "..
\n" ); document.write( "2sinx+1=0
\n" ); document.write( "sinx=-1/2
\n" ); document.write( "x=7π/6, 11π/6
\n" ); document.write( "..
\n" ); document.write( "solutions:x=π/2, 3π/2, 7π/6, 11π/6
\n" ); document.write( "
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