document.write( "Question 1207485: find the Domain of f(x) = sqrt(sec (x)) \n" ); document.write( "

Algebra.Com's Answer #845384 by ikleyn(52779) $\"\"$ $\"About$

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document.write( "By the definition,  sec(x) = .\r\n" );
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document.write( "Thus the domain of your function is the set of all real numbers, where \r\n" );
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document.write( "   cos(x) > 0.\r\n" );
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document.write( "Notice the sign \"strictly greater than zero\". \r\n" );
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document.write( "The sets of real numbers, where cos(x) > 0, is the union of open intervals \r\n" );
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document.write( "    U (,),  over all integer  k = 0, +/-1, +/-2, . . . \r\n" );
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document.write( "The capital letter U, which you see the first in that line, denotes the Union of listed intervals.\r\n" );
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