document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=753558>Question 753558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please explain to me with steps of simplifying this?thanks would be greatly appreciated.\r<BR>\n" );
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document.write( "simplify<BR>\n" );
document.write( "1.)sin3 theta+cos3theta divided by sintheta+costheta\r<BR>\n" );
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document.write( "Verify the identies<BR>\n" );
document.write( "1.)sectheta-costheta divided by tan theta  =sin theta<BR>\n" );
document.write( "2.)sintheta divided by 1+costheta+cottheta=csctheta </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458447 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=458447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify<BR>\n" );
document.write( "1.)sin3 theta+cos3theta divided by sintheta+costheta<BR>\n" );
document.write( "(sin^3 + cos^3)/(sin+cos)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= sin^2 - sin*cos + cos^2<BR>\n" );
document.write( "============================ \r<BR>\n" );
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document.write( "Verify the identies<BR>\n" );
document.write( "1.)sectheta-costheta divided by tan theta = sin theta<BR>\n" );
document.write( "[(1/cos)-cos] / [tan] = sin<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "[(1-cos^2)/cos] = tan*sin<BR>\n" );
document.write( "---<BR>\n" );
document.write( "cos*tan*sin = 1-cos^2<BR>\n" );
document.write( "sin^2 = 1-cos^2<BR>\n" );
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document.write( "True\r<BR>\n" );
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document.write( "2.)sintheta divided by 1+costheta+cottheta=csctheta<BR>\n" );
document.write( "----<BR>\n" );
document.write( "sin/(1+cos) + cos/sin = 1/sin<BR>\n" );
document.write( "----<BR>\n" );
document.write( "sin^2/(1+cos) + cos = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(1-cos^2)/(1+cos) + cos = 1<BR>\n" );
document.write( "(1+cos) + cos = 1<BR>\n" );
document.write( "2cos = 0<BR>\n" );
document.write( "cos(x) = 0<BR>\n" );
document.write( "True when x = 90 or x = 270 degrees<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Note: I think your post for Problem #2 needs some parentheses.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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