document.write( "Question 388645: Need your help please!\r
\n" ); document.write( "\n" ); document.write( "In the interval 0° ≤ θ ≤ 360°, how many values of θ satisfy the equation \"Tan%5E2theta-3Tan%28theta%29+%2B+2\"\"%22%22=%22%22\"\"0\"
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\n" ); document.write( "\n" ); document.write( "a)1
\n" ); document.write( "b)2
\n" ); document.write( "c)3
\n" ); document.write( "d)4
\n" ); document.write( "Thanks
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Algebra.Com's Answer #275004 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Need your help please!
\n" ); document.write( "In the interval 0° ≤ θ ≤ 360°, how many values of θ satisfy the equation
\n" ); document.write( "\"Tan%5E2theta-3Tan%28theta%29+%2B+2+=+0\"
\n" ); document.write( "a)1
\n" ); document.write( "b)2
\n" ); document.write( "c)3
\n" ); document.write( "d)4
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document.write( "\"Tan%5E2theta-3Tan%28theta%29+%2B+2\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Factor the left side:\r\n" );
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document.write( "\"%28Tan%28theta%29-+2%29%28Tan%28theta%29-1%29\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Use the zero-factor principle:\r\n" );
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document.write( "\"Tan%28theta%29-2\"\"%22%22=%22%22\"\"0\"\r\n" );
document.write( "\"Tan%28theta%29\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "Since the tangent is positive in the first and third quadrants,\r\n" );
document.write( "there are two angles between 0° and 360° that have 2 as their \r\n" );
document.write( "tangent.  These are 63.43° and 243.43° approximately\r\n" );
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document.write( "Continuing with the zero-factor principle:\r\n" );
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document.write( "\"Tan%28theta%29-1\"\"%22%22=%22%22\"\"0\"\r\n" );
document.write( "\"Tan%28theta%29\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "Again, since the tangent is positive in the first and third quadrants,\r\n" );
document.write( "there are two angles between 0° and 360° that have 1 as their \r\n" );
document.write( "tangent.  These are 45° and 225° exactly.\r\n" );
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document.write( "So the answer is d)4\r\n" );
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document.write( "Edwin
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