document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549269>Question 549269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that :\r<BR>\n" );
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document.write( "1. 1+sin A/cos A = sec A + tan A<BR>\n" );
document.write( "2. 1-(cos^2 A/1+sinA)= sin A<BR>\n" );
document.write( "3. cscA-cotA = sinA/1+cosA<BR>\n" );
document.write( "4. sec A - tan A = cos A/1+sinA<BR>\n" );
document.write( "5. (1+tanA)/(1-tanA) = (cotA+1/cotA-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357642 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=357642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> prove that :\r<BR>\n" );
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document.write( "1. 1+sin A/cos A = sec A + tan A<BR>\n" );
document.write( "Change to sines and cosines:<BR>\n" );
document.write( "1+sin A/cos A = sec A + tan A<BR>\n" );
document.write( "(1 + sin)/cos = 1/cos + sin/cos = (1 + sin)/cos QED<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "2. 1-(cos^2 A/1+sinA)= sin A<BR>\n" );
document.write( "Multiply thru by (1 + sin)<BR>\n" );
document.write( "1+sin - cos^2 = sin + sin^2<BR>\n" );
document.write( "Add cos^2<BR>\n" );
document.write( "1 + sin = sin + sin^2+ cos^2<BR>\n" );
document.write( "sin^2 + cos^2 = 1 (Pythagorean Identity)<BR>\n" );
document.write( "= sin + 1  QED<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "3. cscA-cotA = sinA/1+cosA<BR>\n" );
document.write( "change to sines and cosines.  email via the TY note for help if needed.<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "4. sec A - tan A = cos A/1+sinA<BR>\n" );
document.write( "change to sines and cosines.  email via the TY note for help if needed.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "5. (1+tanA)/(1-tanA) = (cotA+1/cotA-1)<BR>\n" );
document.write( "change to sines and cosines.  email via the TY note for help if needed.<BR>\n" );
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document.write( "To do these, you just try things.  <BR>\n" );
document.write( "Change to sines and cosines and look for something you recognize.<BR>\n" );
document.write( " </SPAN>\n" );
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