document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855036>Question 855036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove the following identities: sin^2x+4sinx+3/cos^^2x= 3+sinx/1-sinx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515068 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=515068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> prove the following identities: <BR>\n" );
document.write( "sin^2x+4sinx+3/cos^2x = 3+sinx/1-sinx<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "[(sin(x)+3)(sin(x)+1)]/(1-sin^2(x) = (3+sin(x))/(1-sin(x))<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Divide both sides by (3+sin(x))<BR>\n" );
document.write( "----<BR>\n" );
document.write( "[1+sin(x)]/[(1+sin(x))(1-sin(x))] = 1/(1-sin(x))<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Cancel (1+sin(x)) on left side<BR>\n" );
document.write( "------<BR>\n" );
document.write( "1/(1-sin(x)) = 1/(1-sin(x))<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );