document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201964>Question 1201964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove sin^2x/cosx + secx = sinx/cotx + 1/cosx is an identity.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836562 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=836562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We could transform the LHS (left hand side) so that it becomes the RHS (right hand side). <BR>\n" );
document.write( "I'll keep the RHS the same throughout each step.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29%2A%281%2Fcot%28x%29%29+%2B+1%2Fcos%28x%29+=+%28sin%28x%29%29%2F%28cot%28x%29%29+%2B+1%2Fcos%28x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This confirms the original equation is an identity.\r<BR>\n" );
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document.write( "Or we could alter the RHS to transform it into the LHS. \r<BR>\n" );
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document.write( "This time the LHS stays the same for each step.\r<BR>\n" );
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document.write( "We get the same thing on both sides, which confirms the equation is an identity.\r<BR>\n" );
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document.write( "Here is a list of common identities<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf\">https://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf</a><BR>\n" );
document.write( "For example, one common identity I used was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28x%29+=+1%2Fcos%28x%29 ALIGN=MIDDLE  ALT=\"sec%28x%29+=+1%2Fcos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. That example is mentioned under the \"Reciprocal Identities\" section. </SPAN>\n" );
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