document.write( "Question 713946: prove that (sinx-1)(tanx+secx)= -cosx \n" ); document.write( "

Algebra.Com's Answer #438643 by lwsshak3(11628) $\"\"$ $\"About$

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prove that (sinx-1)(tanx+secx)= -cosx
\n" ); document.write( "start with left side:
\n" ); document.write( "(sinx-1)(tanx+secx)=(sinx-1)[(sinx/cosx)+(1/cosx)]
\n" ); document.write( "=(sinx-1)(sinx+1)/cosx)
\n" ); document.write( "=(sin^2x-1)/cosx
\n" ); document.write( "=-(1-sin^2x)/cosx
\n" ); document.write( "=-cos^2x/cosx
\n" ); document.write( "=-cosx
\n" ); document.write( "verified: left side=right side \n" ); document.write( "

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