document.write( "Question 1157544: Solve 12sin^2(w)+7cos(w)−13=0 for all solutions 0 ≤w<2π \n" ); document.write( "
Algebra.Com's Answer #780416 by Edwin McCravy(20065)\"\" \"About 
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document.write( "\"12sin%5E2%28w%29%2B7cos%28w%29-13+=+0\"\r\n" );
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document.write( "\"12%281-cos%5E2%28w%29%5E%22%22%29%2B7cos%5E%22%22%28w%29+-+13+=+0\"\r\n" );
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document.write( "\"12-12cos%5E2%28w%29%2B7cos%5E%22%22%28w%29+-+13+=+0\"\r\n" );
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document.write( "\"-12cos%5E2%28w%29%2B7cos%5E%22%22%28w%29+-+1+=+0\"\r\n" );
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document.write( "\"12cos%5E2%28w%29-7cos%5E%22%22%28w%29+%2B+1+=+0\"\r\n" );
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document.write( "\"%284cos%5E%22%22%28w%29-1%29%283cos%5E%22%22%28w%29-1%29=0\"\r\n" );
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document.write( "4cos(w)-1=0;  3cos(w)-1=0\r\n" );
document.write( "  4cos(w)=1;    3cos(w)=1\r\n" );
document.write( "   cos(w)=1/4;   cos(w)=1/3\r\n" );
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document.write( "Those are positive numbers.  The cosine is positive in \r\n" );
document.write( "quadrants QI and QIV, so\r\n" );
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document.write( "For cos(w)=1/4,\r\n" );
document.write( "w = 1.318116072 radians in QI, 2π-1.318116072 = 4.965069235 in QIV\r\n" );
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document.write( "For cos(w)=1/3,\r\n" );
document.write( "w = 1.230959417 radians in QI, 2π-1.230959417 = 5.05222589 in QIV\r\n" );
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document.write( "Edwin
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