document.write( "Question 689562: I need help on trig identities.
\n" ); document.write( "Verify the following equation:
\n" ); document.write( "cosx(cosx-secx)=-sin^2x
\n" ); document.write( "So far I used the foil method to get cos^2x-cosxsecx but I'm not sure if that is right
\n" ); document.write( "

Algebra.Com's Answer #426063 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Verify the following equation:
\n" ); document.write( "cosx(cosx-secx)=-sin^2x
\n" ); document.write( "start with left side
\n" ); document.write( "cosx(cosx-secx)
\n" ); document.write( "=cosx(cosx-1/cosx)
\n" ); document.write( "=cos^2x-1
\n" ); document.write( "=-(1-cos^2x)
\n" ); document.write( "=-sin^2x
\n" ); document.write( "verified:
\n" ); document.write( "left side=right side
\n" ); document.write( "
\n" );