document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207649>Question 1207649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that (\sin (\theta )+\tan (\theta ))/(\csc (\theta )+\cot (\theta )) = sin(\theta ) tan (\theta ) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845630 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin+%28theta+%29%2Btan+%28theta+%29%29%2F%28csc+%28theta+%29%2Bcot+%28theta+%29%29+=+sin%28theta+%29+tan+%28theta+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "manipulate left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin+%28theta+%29%2Btan+%28theta+%29%29%2F%28csc+%28theta+%29%2Bcot+%28theta+%29%29+ ALIGN=MIDDLE  ALT=\"%28sin+%28theta+%29%2Btan+%28theta+%29%29%2F%28csc+%28theta+%29%2Bcot+%28theta+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >...use identities\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin+%28theta+%29%2Bsin+%28theta+%29%2Fcos+%28theta+%29%29%2F%281%2Fsin+%28theta+%29+%2Bcos+%28theta+%29%2Fsin+%28theta+%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sin+%28theta+%29cos+%28theta+%29%2Bsin+%28theta+%29%29%2Fcos+%28theta+%29%29%2F%28%281%2Bcos+%28theta+%29%29%2Fsin+%28theta+%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin+%28theta+%29%28cos+%28theta+%29%2B1%29%2Fcos+%28theta+%29%29%2F%28%281%2Bcos+%28theta+%29%29%2Fsin+%28theta+%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ...simplify\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin+%28theta+%29%2Fcos+%28theta+%29%29%2F%281%2Fsin+%28theta+%29%29 ALIGN=MIDDLE  ALT=\"%28sin+%28theta+%29%2Fcos+%28theta+%29%29%2F%281%2Fsin+%28theta+%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28theta+%29%28sin+%28theta+%29%2Fcos+%28theta+%29%29 ALIGN=MIDDLE  ALT=\"sin+%28theta+%29%28sin+%28theta+%29%2Fcos+%28theta+%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28theta+%29%2Atan%28theta+%29 ALIGN=MIDDLE  ALT=\"sin+%28theta+%29%2Atan%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=< proven \r<BR>\n" );
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document.write( " </SPAN>\n" );
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