document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=407203>Question 407203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Differentiate y=sin(theta) from first principle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287335 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Differentiation from FIRST PRINCIPLES:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fd%28theta%29+=+lim%28h-%3E0%2C+%28sin%28theta+%2B+h%29+-+sin%28theta%29%29%2Fh%29%0D%0A%0D%0A=lim%28h-%3E0%2C+%28sin%28theta%29%2Acosh+%2B+sinh%2Acos%28theta%29+-+sin%28theta%29%29%2Fh%29%0D%0A%0D%0A=lim%28h-%3E0%2C+%28sin%28theta%29%2A%28%28cosh+-+1%29%2Fh%29+%2B+cos%28theta%29%2A%28sinh%2Fh%29%29%29%0D%0A%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28h-%3E0%2C+%281-+cosh%29%2Fh%29+=+0%29 ALIGN=MIDDLE  ALT=\"lim%28h-%3E0%2C+%281-+cosh%29%2Fh%29+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28h-%3E0%2C+sinh%2Fh%29+=+1 ALIGN=MIDDLE  ALT=\"lim%28h-%3E0%2C+sinh%2Fh%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, hence\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28h-%3E0%2C+%28sin%28theta%29%2A%28%28cosh+-+1%29%2Fh%29+%2B+cos%28theta%29%2A%28sinh%2Fh%29%29%29%0D%0A=sin%28theta%29%2A0+%2B+cos%28theta%29+=+cos%28theta%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28sin%28theta%29%29%2Fd%28theta%29+=+cos%28theta%29 ALIGN=MIDDLE  ALT=\"d%28sin%28theta%29%29%2Fd%28theta%29+=+cos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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