document.write( "Question 747130: What are the x's of: (sec)x = (cos)x \n" ); document.write( "

Algebra.Com's Answer #454740 by KMST(5328) $\"\"$ $\"About$

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$\"sec%28x%29=1%2Fcos%28x%29\"$ so
\n" ); document.write( " $\"sec%28x%29=cos%28x%29\"$ --> $\"1%2Fcos%28x%29=cos%28x%29\"$ --> $\"%28cos%28x%29%29%5E2=1\"$
\n" ); document.write( "A solution that gives $\"cos%28x%29=1\"$ is $\"x=0\"$ .
\n" ); document.write( "A solution that gives $\"cos%28x%29=-1\"$ is $\"x=180%5Eo\"$ (or $\"x=pi\"$ radians).
\n" ); document.write( "Those are the only solutions such that
\n" ); document.write( " $\"0%3C=x%3C360%5Eo\"$ (or $\"0%3C=x%3C2pi\"$ if we measure angles in radians).
\n" ); document.write( "There is an infinite number of other solutions that can be found by adding/subtracting multiples of $\"360%5Eo\"$ (or $\"2pi\"$ radians).
\n" ); document.write( "All solutions can be expressed as
\n" ); document.write( " $\"x=k%2A180%5Eo\"$ (or $\"x=k%2Api\"$ radians) with $\"k\"$ being an integer. \n" ); document.write( "

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