document.write( "Question 929303: Solve the equation:\r
\n" ); document.write( "\n" ); document.write( " $\"6sin%5E2%28theta%29+%2B+5+sin+%28theta%29+=+6\"$ \r
\n" ); document.write( "\n" ); document.write( "Find all solutions on [0,2π). Round your solutions to the nearest tenth of a degree if necessary. \n" ); document.write( "

Algebra.Com's Answer #564185 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Substitute $\"u=sin%28theta%29\"$
\n" ); document.write( " $\"6u%5E2%2B5u=6\"$
\n" ); document.write( " $\"6u%5E2%2B5u-6=0\"$
\n" ); document.write( " $\"%282u%2B3%29%283u-2%29=0\"$
\n" ); document.write( "Two \"u\" solutions:
\n" ); document.write( " $\"2u%2B3=0\"$
\n" ); document.write( " $\"2u=-3\"$
\n" ); document.write( " $\"u=-3%2F2\"$
\n" ); document.write( " $\"sin%28theta%29=-3%2F2\"$
\n" ); document.write( "No solution since $\"abs%28sin%28theta%29%29%3C=1\"$
\n" ); document.write( " $\"3u-2=0\"$
\n" ); document.write( " $\"3u=2\"$
\n" ); document.write( " $\"u=2%2F3\"$
\n" ); document.write( " $\"sin%28theta%29=2%2F3\"$
\n" ); document.write( " $\"theta=41.8\"$ and $\"theta=138.2\"$
\n" ); document.write( " \n" ); document.write( "

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