document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140527>Question 1140527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that <BR>\n" );
document.write( "(a) (sec^4-1)/(tan^2x) =2tan^2x <BR>\n" );
document.write( "(b) (cosec^4x -1)/(cot^2x) =2+cot^2x<BR>\n" );
document.write( "(c) (1+sec@)/(sin@+tan@)=cosec@<BR>\n" );
document.write( "(d) (cos^3@-sin^2@)/(cos@-sin@)=1+sin@cos@<BR>\n" );
document.write( "(e) (1-(sin@-cos@)^2/sin@=2cos@ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761093 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=761093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Show that <BR>\n" );
document.write( "(a) (sec^4-1)/(tan^2x) =2tan^2x <BR>\n" );
document.write( "(b) (cosec^4x -1)/(cot^2x) =2+cot^2x<BR>\n" );
document.write( "(c) (1+sec@)/(sin@+tan@)=cosec@<BR>\n" );
document.write( "(d) (cos^3@-sin^2@)/(cos@-sin@)=1+sin@cos@<BR>\n" );
document.write( "(e) (1-(sin@-cos@)^2/sin@=2cos@<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">(a) should be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+%28sec%5E4+%28x%29+-+1%29%2Ftan%5E2+%28x%29%2C+%22=%22%2C+highlight%28tan%5E2+%28x%29+%2B+2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<b><u>We'll focus on the left-side:</b></u> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%285%2C3%2C+%28sec%5E4+%28x%29+-+1%29%2Ftan%5E2+%28x%29%2C+%22=%22%2C+highlight%28tan%5E2+%28x%29+%2B+2%29%2C+%28sec%5E2+%28x%29+-+1%29%28sec%5E2+%28x%29+%2B+1%29%2Ftan%5E2+%28x%29%2C+%22=%22%2C+highlight%28tan%5E2+%28x%29+%2B+2%29%2C+tan%5E2+%28x%29%28tan%5E2+%28x%29+%2B+1+%2B+1%29%2Ftan%5E2+%28x%29%2C+%22=%22%2C+highlight%28tan%5E2+%28x%29+%2B+2%29%2C+cross%28tan%5E2+%28x%29%29%28tan%5E2+%28x%29+%2B+2%29%2Fcross%28tan%5E2+%28x%29%29%2C+%22=%22%2C+highlight%28tan%5E2+%28x%29+%2B+2%29%2C+highlight%28tan%5E2+%28x%29+%2B+2%29%2C+%22=%22%2C+highlight%28tan%5E2+%28x%29+%2B+2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );