document.write( "Question 958739: Find all solutions on the interval x element [0, 2pi) for the trigonometric equation 6sin^2(x) + sin(x) - 2 = 0 \n" ); document.write( "

Algebra.Com's Answer #585929 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is a quadratic equation.
\n" ); document.write( " $\"6u%5E2%2Bu-2=0\"$
\n" ); document.write( " $\"%282u-1%29%283u%2B2%29=0\"$
\n" ); document.write( "Two u solutions:
\n" ); document.write( " $\"2u-1=0\"$
\n" ); document.write( " $\"2u=1\"$
\n" ); document.write( " $\"u=1%2F2\"$
\n" ); document.write( " $\"sin%28theta%29=1%2F2\"$
\n" ); document.write( " $\"theta=pi%2F6\"$ and $\"theta=%285%2F6%29pi\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"3u%2B2=0\"$
\n" ); document.write( " $\"3u=-2\"$
\n" ); document.write( " $\"u=-2%2F3\"$
\n" ); document.write( " $\"sin%28theta%29=-2%2F3\"$
\n" ); document.write( " $\"theta=+5.553\"$ and $\"theta=3.871\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );