document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396590>Question 396590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Verify following is an identity.<BR>\n" );
document.write( "(1-cos(x))/(1+cos(x))=(csc(x)-cot(x))^2<BR>\n" );
document.write( "Thank you for helping me to solve trigeomertry </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281285 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=281285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Verify following is an identity.<BR>\n" );
document.write( "(1-cos(x))/(1+cos(x))=(csc(x)-cot(x))^2<BR>\n" );
document.write( "Thank you for helping me to solve trigonometry\r<BR>\n" );
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document.write( "Starting with the right hand identity,\r<BR>\n" );
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document.write( "(csc(x)-cot(x))^2 = csc^2-2csc*cot+cot^2<BR>\n" );
document.write( "                  = 1/sin^2-(2/sin)(cos/sin)+(cos/sin)^2<BR>\n" );
document.write( "                  = 1/sin^2-(2cos)/sin^2+(sin)^2/(cos)^2<BR>\n" );
document.write( "                  = (1-2cos+cos^2)/sin^2<BR>\n" );
document.write( "                  = (cos-1)^2/(1-cos^2)<BR>\n" );
document.write( "                  = (cos-1)(cos-1)/(1+cos)(1-cos)<BR>\n" );
document.write( "                  = multiply both numerator and denominator by (-1)<BR>\n" );
document.write( "                  = -(1-cos)(cos-1)/-(1+cos)(cos-1)<BR>\n" );
document.write( "             ans: = (1-cos)/(1+cos) </SPAN>\n" );
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