document.write( "Question 379346: Find all values of x in the interval [0, 2π] that satisfy the given equation.
\n" ); document.write( "−sin 2x =3 cos x \n" ); document.write( "

Algebra.Com's Answer #269523 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"-sin%282x%29+=3%2Acos%28x%29\"$
\n" ); document.write( " $\"-2%2Asin%28x%29%2Acos%28x%29=3%2Acos%28x%29\"$
\n" ); document.write( " $\"-2%2Asin%28x%29%2Acos%28x%29-3%2Acos%28x%29=0\"$
\n" ); document.write( " $\"-cos%28x%29%282%2Asin%28x%29-3%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"cos%28x%29=0\"$
\n" ); document.write( " $\"highlight%28x=pi%2F2%29\"$ and $\"highlight%28x=%283%2Api%29%2F2%29\"$
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\n" ); document.write( " $\"2%2Asin%28x%29-3=0\"$
\n" ); document.write( " $\"2%2Asin%28x%29=3\"$
\n" ); document.write( " $\"sin%28x%29=3%2F2\"$
\n" ); document.write( "No solution since $\"-1%3C=sin%28x%29%3C=1\"$
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