document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287845>Question 287845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i must show that sin0=cos0tan0. how do i go about doing this. please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208582 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=208582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let o = opposite<BR>\n" );
document.write( "Let a = adjacent<BR>\n" );
document.write( "Let h = hypotenuse<BR>\n" );
document.write( "Let T = any angle.\r<BR>\n" );
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document.write( "Formula you want to prove is:\r<BR>\n" );
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document.write( "sin(T) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28T%29%2ATan%28T%29 ALIGN=MIDDLE  ALT=\"cos%28T%29%2ATan%28T%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "sin(T) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o%2Fh ALIGN=MIDDLE  ALT=\"o%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "cos(T) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fh ALIGN=MIDDLE  ALT=\"a%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "tan(T) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o%2Fa ALIGN=MIDDLE  ALT=\"o%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "sin(T) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28T%29%2ATan%28T%29+ ALIGN=MIDDLE  ALT=\"cos%28T%29%2ATan%28T%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o%2Fh ALIGN=MIDDLE  ALT=\"o%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fh+%2A+o%2Fa ALIGN=MIDDLE  ALT=\"a%2Fh+%2A+o%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is equivalent to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o%2Fh ALIGN=MIDDLE  ALT=\"o%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Ao%29%2F%28a%2Ah%29 ALIGN=MIDDLE  ALT=\"%28a%2Ao%29%2F%28a%2Ah%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The a in the numerator and the a in the denominator cancel out so the equation becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o%2Fh ALIGN=MIDDLE  ALT=\"o%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o%2Fh ALIGN=MIDDLE  ALT=\"o%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since this is true, then the formulas are equivalent confirming that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o%2Fh ALIGN=MIDDLE  ALT=\"o%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Ao%29%2F%28h%2Aa%29 ALIGN=MIDDLE  ALT=\"%28a%2Ao%29%2F%28h%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the same as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=o%2Fh ALIGN=MIDDLE  ALT=\"o%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fh%29%2A%28o%2Fa%29 ALIGN=MIDDLE  ALT=\"%28a%2Fh%29%2A%28o%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the same as:\r<BR>\n" );
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document.write( "sin(T) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28T%29%2Atan%28T%29 ALIGN=MIDDLE  ALT=\"cos%28T%29%2Atan%28T%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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