document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313671>Question 313671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> verify the trigonometric identity.<BR>\n" );
document.write( "(sinx)(secx-cscx)-tanx= -1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224268 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Define everything by its definition. secx=1/cosx, cscx = 1/sinx, and tanx =sinx/cosx\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(sinx)(secx-cscx)-tanx= -1<BR>\n" );
document.write( "(sinx)(1/cosx - 1/sinx) -sinx/cosx = -1<BR>\n" );
document.write( "sinx/cosx -sinx/sinx -sinx/cosx = -1<BR>\n" );
document.write( "sinx/cosx -1 -sinx/cosx = -1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note: sinx/cosx -sinx/cosx =0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore,\r<BR>\n" );
document.write( "\n" );
document.write( "-1 = -1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );