document.write( "Question 1023603: Solve the equation on the interval left bracket 0 comma 2 pi right parenthesis[0, 2π).
\n" ); document.write( "2 sine squared theta minus 3 sine theta plus 1 equals 02sin2θ−3sinθ+1=0
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Algebra.Com's Answer #639106 by kev82(151) $\"\"$ $\"About$

You can put this solution on YOUR website!
Just to confirm, you mean what you've written in the text, i.e. $\"2sin%5E2%28x%29+-+3sin%28x%29+%2B+1+=+0\"$ . This is not the same as the equation you have written down i.e. $\"2sin%282x%29+-+3sin%28x%29+%2B+1+=+0\"$ .\r
\n" ); document.write( "\n" ); document.write( "If your problem is the first, then this is simply quadratic in $\"sin%28x%29\"$ . This doesn't always look obvious, but it should look very obvious if you try substituting $\"y=sin%28x%29\"$ . Generally when you see multiple powers of something added up, try substituting for the something.\r
\n" ); document.write( "\n" ); document.write( "The factorisation $\"1+-+3y+%2B+2y%5E2+=+%281-2y%29%281-y%29\"$ looks like it may help with solving the quadratic.\r
\n" ); document.write( "\n" ); document.write( "If you're problem is in fact the second one, it appears much harder as my quick attempt at it ends up with a quartic in $\"sin%28x%29\"$ that doesn't seem to have an obvious solution. Write back if you're interested in that one, and we can look at it in detail. \n" ); document.write( "

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