document.write( "Question 807941: Find the exact values of theta on the interval [0degrees, 360 degrees) that make the following equation a true statement.\r
\n" ); document.write( "\n" ); document.write( "3 sin theta- 6 sin theta cos theta cos theta =0 \n" ); document.write( "
Algebra.Com's Answer #486666 by lwsshak3(11628)\"\" \"About 
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Find the exact values of theta on the interval [0degrees, 360 degrees) that make the following equation a true statement.
\n" ); document.write( "3 sin theta- 6 sin theta cos theta cos theta =0
\n" ); document.write( "***
\n" ); document.write( "use x for theta
\n" ); document.write( "\"3sin%28x%29-6sin%28x%29cos%28x%29cos%28x%29=0\"
\n" ); document.write( "(3sinx)(1-2cos^2x)=0
\n" ); document.write( "(3sinx)(1-2(1-sin^2x)=0
\n" ); document.write( "(3sinx)(1-2+2sin^2x)=0
\n" ); document.write( "(3sinx)(-1+2sin^2x)=0
\n" ); document.write( "..
\n" ); document.write( "3sinx=0
\n" ); document.write( "x=0, 180˚
\n" ); document.write( "..
\n" ); document.write( "-1+2sin^2x)=0
\n" ); document.write( "sin^2x=1/2
\n" ); document.write( "sinx=±1/√2=±√2/2
\n" ); document.write( "x=45˚, 135˚, 225˚, 315˚\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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