document.write( "Question 721039: How can do you prove that secx - (tanx)(sinx) = cosx? \n" ); document.write( "
Algebra.Com's Answer #442140 by lwsshak3(11628)\"\" \"About 
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How can do you prove that
\n" ); document.write( "secx - (tanx)(sinx) = cosx?
\n" ); document.write( "Start with left side:
\n" ); document.write( "secx-(tanx)(sinx)
\n" ); document.write( "=(1/cosx)-(sinx/cosx)sinx
\n" ); document.write( "=(1/cosx)-sin^2x/cosx
\n" ); document.write( "=(1-sin^2x)/cos)
\n" ); document.write( "=cos^2x/cosx
\n" ); document.write( "=cosx
\n" ); document.write( "verified: left side=right side
\n" ); document.write( "
\n" );