document.write( "Question 1004703: find all values of t in [0, 2 pi] such that absolute value sec t = 1.\r
\n" ); document.write( "\n" ); document.write( "I only found 0. \n" ); document.write( "

Algebra.Com's Answer #621096 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"abs%28sec%28t%29%29+=+1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"abs%281%2F%28cos%28t%29%29%29+=+1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1%2F%28cos%28t%29%29+=+1\"$ or $\"1%2F%28cos%28t%29%29+=+-1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's focus on solving $\"1%2F%28cos%28t%29%29+=+1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1%2F%28cos%28t%29%29+=+1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1+=+1%2Acos%28t%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1+=+cos%28t%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"cos%28t%29+=+1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"t+=+0\"$ or $\"t+=+2pi\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's focus on solving $\"1%2F%28cos%28t%29%29+=+-1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1%2F%28cos%28t%29%29+=+-1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1+=+-1%2Acos%28t%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1+=+-cos%28t%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-cos%28t%29+=+1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"cos%28t%29+=+-1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"t+=+pi\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The three solutions to $\"abs%28sec%28t%29%29+=+1\"$ in the interval [0,2pi] are $\"t+=+0\"$ , $\"t+=+pi\"$ or $\"t+=+2pi\"$ \n" ); document.write( "

\n" );