document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174797>Question 1174797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what quadrant does 0 lie if the following statement is true \r<BR>\n" );
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document.write( "csc 0 > 0 and cos 0 > 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800288 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=800288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Theta is the greek letter often used with angles<BR>\n" );
document.write( "The symbol for theta is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29+%3E+0 ALIGN=MIDDLE  ALT=\"csc%28theta%29+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then this also means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29+%3E+0 ALIGN=MIDDLE  ALT=\"sin%28theta%29+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29+=+1%2F%28sin%28theta%29%29 ALIGN=MIDDLE  ALT=\"csc%28theta%29+=+1%2F%28sin%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "csc is shorthand for \"cosecant\"\r<BR>\n" );
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document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29+%3E+0 ALIGN=MIDDLE  ALT=\"sin%28theta%29+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sin%28theta%29 ALIGN=MIDDLE  ALT=\"y+=+sin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this makes y > 0 and it places our angle somewhere in quadrant I or quadrant II. This is where the terminal point has a positive y coordinate. It's somewhere above the x axis.\r<BR>\n" );
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document.write( "Furthermore, if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29+%3E+0 ALIGN=MIDDLE  ALT=\"cos%28theta%29+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+cos%28theta%29 ALIGN=MIDDLE  ALT=\"x+=+cos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then x > 0 tells us we're somewhere to the right of the y axis where x is positive. \r<BR>\n" );
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document.write( "So with x > 0 and y > 0, we know that the terminal point (x,y) is somewhere in quadrant I. This is the northeast quadrant, ie the upper-right quadrant.\r<BR>\n" );
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document.write( "Answer: Quadrant I<BR>\n" );
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