document.write( "Question 423187: Name the quadrants in which angle theta may lie if sec(q) = csc(q). \n" ); document.write( "
Algebra.Com's Answer #295244 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "                        Signs\r\n" );
document.write( "Quadrant        I    II    III    IV \r\n" );
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document.write( "Sine            +     +     -      -\r\n" );
document.write( "Cosine          +     -     -      +\r\n" );
document.write( "Tangent         +     -     +      -\r\n" );
document.write( "Cotangent       +     -     +      -\r\n" );
document.write( "Secant          +     -     -      +\r\n" );
document.write( "Cosecant        +     +     -      -\r\n" );
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document.write( "The Secant and the Cosecant are both POSITIVE in quadrant I \r\n" );
document.write( "The Secant and the Cosecant are both NEGATIVE in quadrant III\r\n" );
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document.write( "So the answer is quadrants I and III since to be equal they\r\n" );
document.write( "must have the same sign.  \r\n" );
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document.write( "If you want to know what these angles are,\r\n" );
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document.write( "In degrees \r\n" );
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document.write( " sec(45°+360°n) = csc(45°+360°n)\r\n" );
document.write( "sec(225°+360°n) = csc(225°+360°n)\r\n" );
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document.write( "In radians \r\n" );
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document.write( " sec(p/4+2np) = csc(p/4+2np)\r\n" );
document.write( "sec(5p/4+2np) = csc(5p/4+2np)\r\n" );
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document.write( "Edwin

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