document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205934>Question 1205934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is 1/cot( x) in terms of sin (x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843043 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=843043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Use the pythagorean trig identity to determine cosine in terms of sine.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28theta%29+%2B+cos%5E2%28theta%29+=+1 ALIGN=MIDDLE  ALT=\"sin%5E2%28theta%29+%2B+cos%5E2%28theta%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28theta%29+=+1-sin%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28theta%29+=+1-sin%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29+=+%22%22%2B-sqrt%281-sin%5E2%28theta%29%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29+=+%22%22%2B-sqrt%281-sin%5E2%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28cot%28theta%29%29+=+tan%28theta%29 ALIGN=MIDDLE  ALT=\"1%2F%28cot%28theta%29%29+=+tan%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28cot%28theta%29%29+=+sin%28theta%29%2Fcos%28theta%29 ALIGN=MIDDLE  ALT=\"1%2F%28cot%28theta%29%29+=+sin%28theta%29%2Fcos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28cot%28theta%29%29+=+%22%22%2B-sin%28theta%29%2F%28sqrt%281+-+sin%5E2%28theta%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28cot%28theta%29%29+=+%22%22%2B-sin%28theta%29%2F%28sqrt%281+-+sin%5E2%28theta%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Refer to this list for more info<BR>\n" );
document.write( "https://en.wikipedia.org/wiki/List_of_trigonometric_identities<BR>\n" );
document.write( "Scroll a bit to reach the table with the heading \"Each trigonometric function in terms of each of the other five\".<BR>\n" );
document.write( "Look at the row that starts with <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \tan \theta = \"> and the column that has \"sin\" at the top.\r<BR>\n" );
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document.write( "If theta is in quadrants Q1 or Q3, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28cot%28theta%29%29+=+sin%28x%29%2F%28sqrt%281+-+sin%5E2%28theta%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28cot%28theta%29%29+=+sin%28x%29%2F%28sqrt%281+-+sin%5E2%28theta%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If theta is in quadrants Q2 or Q4, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28cot%28theta%29%29+=+%28-sin%28theta%29%29%2F%28sqrt%281+-+sin%5E2%28theta%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28cot%28theta%29%29+=+%28-sin%28theta%29%29%2F%28sqrt%281+-+sin%5E2%28theta%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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