document.write( "Question 1056518: what is the solution for
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Algebra.Com's Answer #671634 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Multiply through by \"sin%28theta%29cos%28theta%29%29\"\r\n" );
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document.write( "\"2sin%5E2%28theta%29sin%28theta%29cos%28theta%29-1=sin%5E2%28theta%29-cos%5E2%28theta%29\"\r\n" );
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document.write( "\"2sin%5E3%28theta%29cos%28theta%29-1=sin%5E2%28theta%29-cos%5E2%28theta%29\"\r\n" );
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document.write( "\"2sin%5E3%28theta%29cos%28theta%29-sin%5E2%28theta%29=1-cos%5E2%28theta%29\"\r\n" );
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document.write( "\"2sin%5E3%28theta%29cos%28theta%29-sin%5E2%28theta%29=sin%5E2%28theta%29\"\r\n" );
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document.write( "\"2sin%5E3%28theta%29cos%28theta%29-2sin%5E2%28theta%29=0\"\r\n" );
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document.write( "\"2sin%5E2%28theta%29%28sin%28theta%29cos%28theta%29-1%29=0\"\r\n" );
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document.write( "Use the zero factor property:\r\n" );
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document.write( "\"2sin%5E2%28theta%29=0\";  \"sin%28theta%29cos%28theta%29-1=0\"\r\n" );
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document.write( "\"sin%5E2%28theta%29=0\";   \"sin%28theta%29cos%28theta%29=1\"\r\n" );
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document.write( "\"sin%28theta%29=0\";    \r\n" );
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document.write( "\"theta=n%2Api\", where n is any integer.\r\n" );
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document.write( "I think the second equation has no solution:\r\n" );
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document.write( "\"sin%28theta%29cos%28theta%29=1\"\r\n" );
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document.write( "Multiply both sides by 2\r\n" );
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document.write( "\"2sin%28theta%29cos%28theta%29=2\"\r\n" );
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document.write( "That is the expression for \"sin%282theta%29\"\r\n" );
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document.write( "\"sin%282theta%29=2\"\r\n" );
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document.write( "That can have no solution because the absolute\r\n" );
document.write( "values of the sine is always 1 or less.\r\n" );
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document.write( "So the only solution is \"theta=n%2Api\"\r\n" );
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document.write( "Edwin

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