document.write( "Question 866939: find the value of theta in
\n" ); document.write( "6 sin^2 theta + 7 cos theta - 7 = 0 \n" ); document.write( "

Algebra.Com's Answer #522598 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"6sin%5E2%28theta%29+%2B+7cos%28theta%29+-+7+=+0\"$
\n" ); document.write( " $\"6%2A%281-cos%5E2%28theta%29%29+%2B+7cos%28theta%29+-+7+=+0\"$
\n" ); document.write( " $\"6-6cos%5E2%28theta%29%2B7cos%28theta%29-7=0\"$
\n" ); document.write( " $\"-6cos%5E2%28theta%29%2B7cos%28theta%29-1=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6cos%5E2%28theta%29-7cos%28theta%29%2B1=0\"$
\n" ); document.write( " $\"cos%28theta%29-1%29%286cos%28%28theta%29-1%29%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"cos%28theta%29=1\"$
\n" ); document.write( " $\"theta=0\"$
\n" ); document.write( "and
\n" ); document.write( " $\"6cos%28theta%29-1=0\"$
\n" ); document.write( " $\"6cos%28theta%29=1\"$
\n" ); document.write( " $\"cos%28theta%29=1%2F6\"$
\n" ); document.write( " $\"theta=80.4\"$ and $\"theta=279.6\"$ \n" ); document.write( "

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