document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160460>Question 1160460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A) If sinA=-1/25 and angle A terminates in quadrant IV, what does tanA equal?\r<BR>\n" );
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document.write( "B) Given tan theta=7/24, and theta terminates in Quadrant III, determine the value of cos theta.\r<BR>\n" );
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document.write( "C) If sin theta= 1/2 and theta terminates in Quadrant II, what is the valuse of csc theta * cot theta?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783754 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=783754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) <BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29=-1%2F25+ ALIGN=MIDDLE  ALT=\"sin%28A%29=-1%2F25+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and angle<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A ALIGN=MIDDLE  ALT=\"+A\"   DISABLED_style= \"max-width:90%; height:auto;\" > terminates in quadrant IV, what does <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%29 ALIGN=MIDDLE  ALT=\"tan%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal?\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29=-1%2F25+ ALIGN=MIDDLE  ALT=\"sin%28A%29=-1%2F25+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29=opposite%2Fhypotenuse ALIGN=MIDDLE  ALT=\"sin%28A%29=opposite%2Fhypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opposite=1 ALIGN=MIDDLE  ALT=\"opposite=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hypotenuse=25 ALIGN=MIDDLE  ALT=\"hypotenuse=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to find  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%29 ALIGN=MIDDLE  ALT=\"tan%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we need  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29=adjacent%2Fhypotenuse ALIGN=MIDDLE  ALT=\"cos%28A%29=adjacent%2Fhypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adjacent=sqrt%2825%5E2-1%5E2%29=sqrt%28624%29=4sqrt%2839%29 ALIGN=MIDDLE  ALT=\"adjacent=sqrt%2825%5E2-1%5E2%29=sqrt%28624%29=4sqrt%2839%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%28A%29=adjacent%2Fhypotenuse ALIGN=MIDDLE  ALT=\"cos%28A%29=adjacent%2Fhypotenuse\"   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%28A%29=4sqrt%2839%29%2F25 ALIGN=MIDDLE  ALT=\"cos%28A%29=4sqrt%2839%29%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%29=sin%28A%29%2Fcos%28A%29 ALIGN=MIDDLE  ALT=\"tan%28A%29=sin%28A%29%2Fcos%28A%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=tan%28A%29=%28-1%2F25%29%2F%284sqrt%2839%29%2F25%29 ALIGN=MIDDLE  ALT=\"tan%28A%29=%28-1%2F25%29%2F%284sqrt%2839%29%2F25%29\"   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=tan%28A%29=-1%2F%284sqrt%2839%29%29 ALIGN=MIDDLE  ALT=\"tan%28A%29=-1%2F%284sqrt%2839%29%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=tan%28A%29=-sqrt%2839%29%2F%284%2A39%29 ALIGN=MIDDLE  ALT=\"tan%28A%29=-sqrt%2839%29%2F%284%2A39%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=tan%28A%29=-sqrt%2839%29%2F156 ALIGN=MIDDLE  ALT=\"tan%28A%29=-sqrt%2839%29%2F156\"   DISABLED_style= \"max-width:90%; height:auto;\" > in radians\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=-2.29241 ALIGN=MIDDLE  ALT=\"A=-2.29241\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "in quadrant IV: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=360-2.29241=357.70759 ALIGN=MIDDLE  ALT=\"A=360-2.29241=357.70759\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "B) Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28+theta%29=7%2F24 ALIGN=MIDDLE  ALT=\"tan%28+theta%29=7%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta ALIGN=MIDDLE  ALT=\"+theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > terminates in Quadrant III, determine the value of cos<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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%29=sin%28A%29%2Fcos%28A%29=opposite%2Fadjacent ALIGN=MIDDLE  ALT=\"tan%28A%29=sin%28A%29%2Fcos%28A%29=opposite%2Fadjacent\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opposite=7 ALIGN=MIDDLE  ALT=\"opposite=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adjacent=24 ALIGN=MIDDLE  ALT=\"adjacent=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find hypotenuse\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hypotenuse=sqrt%287%5E2%2B24%5E2%29 ALIGN=MIDDLE  ALT=\"hypotenuse=sqrt%287%5E2%2B24%5E2%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=hypotenuse=sqrt%28625%29 ALIGN=MIDDLE  ALT=\"hypotenuse=sqrt%28625%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=hypotenuse ALIGN=MIDDLE  ALT=\"hypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" >=±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta ALIGN=MIDDLE  ALT=\"+theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > terminates in Quadrant III, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29 ALIGN=MIDDLE  ALT=\"cos%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is negative<BR>\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hypotenuse=-25 ALIGN=MIDDLE  ALT=\"hypotenuse=-25\"   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%28A%29=24%2F-25 ALIGN=MIDDLE  ALT=\"cos%28A%29=24%2F-25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29=-24%2F25 ALIGN=MIDDLE  ALT=\"cos%28A%29=-24%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29+=+7%2F24 ALIGN=MIDDLE  ALT=\"tan%28theta%29+=+7%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >, use your calculator to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta+=+16.26 ALIGN=MIDDLE  ALT=\"theta+=+16.26\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "that's in the first quadrant\r<BR>\n" );
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document.write( "in the third quadrant, the angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180+%2B+16.26 ALIGN=MIDDLE  ALT=\"180+%2B+16.26\"   DISABLED_style= \"max-width:90%; height:auto;\" >° = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=196.26 ALIGN=MIDDLE  ALT=\"196.26\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "so,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=196.26 ALIGN=MIDDLE  ALT=\"A=196.26\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "C) \r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=+1%2F2 ALIGN=MIDDLE  ALT=\"sin%28theta%29=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > terminates in Quadrant II, what is the values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29%2Acot%28theta%29 ALIGN=MIDDLE  ALT=\"csc%28theta%29%2Acot%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "in Quadrant II: sin is positive, cos is  negative, tanis  negative\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29=opposite%2Fhypotenuse ALIGN=MIDDLE  ALT=\"sin%28A%29=opposite%2Fhypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opposite=1 ALIGN=MIDDLE  ALT=\"opposite=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hypotenuse=2 ALIGN=MIDDLE  ALT=\"hypotenuse=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adjacent=sqrt%282%5E2-1%5E2%29=sqrt%283%29 ALIGN=MIDDLE  ALT=\"adjacent=sqrt%282%5E2-1%5E2%29=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29=-sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"cos%28A%29=-sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29+=hypotenuse%2Fopposite ALIGN=MIDDLE  ALT=\"csc%28theta%29+=hypotenuse%2Fopposite\"   DISABLED_style= \"max-width:90%; height:auto;\" > we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29+=2%2F1=2 ALIGN=MIDDLE  ALT=\"csc%28theta%29+=2%2F1=2\"   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=cot%28theta%29+=+adjacent%2Fopposite ALIGN=MIDDLE  ALT=\"cot%28theta%29+=+adjacent%2Fopposite\"   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=cot%28theta%29+=+sqrt%283%29%2F1 ALIGN=MIDDLE  ALT=\"cot%28theta%29+=+sqrt%283%29%2F1\"   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=cot%28theta%29+=+sqrt%283%29+ ALIGN=MIDDLE  ALT=\"cot%28theta%29+=+sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29+%2A+cot%28+theta%29=2sqrt%283%29 ALIGN=MIDDLE  ALT=\"csc%28theta%29+%2A+cot%28+theta%29=2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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