document.write( "Question 864419: Need help with this question, it has more than one correct answer.\r
\n" ); document.write( "\n" ); document.write( "Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.)\r
\n" ); document.write( "\n" ); document.write( "Sin 2x=(square-root 3) sin x
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Algebra.Com's Answer #520995 by josgarithmetic(39627) $\"\"$ $\"About$

You can put this solution on YOUR website!
Sin 2x=(square-root 3) sin x
\n" ); document.write( " $\"sin%282x%29=sqrt%283%29sin%28x%29\"$
\n" ); document.write( "Double Angle Identity,
\n" ); document.write( " $\"sin%282x%29=2%2Asin%28x%29cos%28x%29=sqrt%283%29sin%28x%29\"$
\n" ); document.write( " $\"2%2Asin%28x%29cos%28x%29-sqrt%283%29sin%28x%29=0\"$
\n" ); document.write( " $\"sin%28x%29%282%2Acos%28x%29-sqrt%283%29%29=0\"$
\n" ); document.write( "-
\n" ); document.write( "Either $\"sin%28x%29=0\"$ OR $\"2%2Acos%28x%29-sqrt%283%29=0\"$ .
\n" ); document.write( "The first alternative means, $\"highlight%28x=0%29\"$ or $\"highlight%28x=2%2Api%29\"$ .
\n" ); document.write( "The second alternative means,
\n" ); document.write( " $\"2%2Acos%28x%29=sqrt%283%29\"$
\n" ); document.write( " $\"cos%28x%29=sqrt%283%29%2F2\"$ , meaning $\"highlight%28x=pi%2F3%29\"$ . \n" ); document.write( "

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