document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916899>Question 916899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I verify this identity?\r<BR>\n" );
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document.write( "(tan of theta + cotangent of theta) ^2 = sec ^2 of theta + csc ^ 2 of theta\r<BR>\n" );
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document.write( "if you don't mind, please help show me the steps\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556401 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ow do I verify this identity?<BR>\n" );
document.write( "(tan of theta + cotangent of theta) ^2 = sec ^2 of theta + csc ^ 2 of theta <BR>\n" );
document.write( "***<BR>\n" );
document.write( "use x for theta<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tanx%2Bcotx%29%5E2=sec%5E2%28x%29%2Bcsc%5E2%28x%29 ALIGN=MIDDLE  ALT=\"%28tanx%2Bcotx%29%5E2=sec%5E2%28x%29%2Bcsc%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "start with left side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tanx%2Bcotx%29%5E2=tan%5E2%28x%29%2B2tanxcotx%2Bcot%5E2%28x%29 ALIGN=MIDDLE  ALT=\"%28tanx%2Bcotx%29%5E2=tan%5E2%28x%29%2B2tanxcotx%2Bcot%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "tanx*cot=1<BR>\n" );
document.write( "using pythagorean identities:<BR>\n" );
document.write( "tan^2(x)=sec^2(x)-1<BR>\n" );
document.write( "cot^2(x)=csc^2(x)-1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tanx%2Bcotx%29%5E2=sec%5E2%28x%29-1%2B2%2Bcsc%5E2%28x%29-1=sec%5E2%28x%29%2Bcsc%5E2%28x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "verified: left side = right side </SPAN>\n" );
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