document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203872>Question 1203872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given function value and the trigonometric identities to find the exact value of each indicated trigonometric function \r<BR>\n" );
document.write( "\n" );
document.write( "0° ≤ 𝛼 ≤ 90°, 0 ≤ 𝛼 ≤ <BR>\n" );
document.write( "𝜋<BR>\n" );
document.write( "2\r<BR>\n" );
document.write( "\n" );
document.write( ".<BR>\n" );
document.write( "cot(𝛼) = 3<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "tan(𝛼)<BR>\n" );
document.write( " <BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "csc(𝛼)<BR>\n" );
document.write( " <BR>\n" );
document.write( "(c)<BR>\n" );
document.write( "sec(𝛼)<BR>\n" );
document.write( " <BR>\n" );
document.write( "(d)<BR>\n" );
document.write( "sin(𝛼)<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839749 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=839749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cot%28alpha%29+=+3 ALIGN=MIDDLE  ALT=\"+cot%28alpha%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Use the definition of cotangent to find the known sides of the unit circle\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cot%28alpha%29+=+adj%2Fopp+ ALIGN=MIDDLE  ALT=\"+cot%28alpha%29+=+adj%2Fopp+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+adj%2Fopp=3 ALIGN=MIDDLE  ALT=\"+adj%2Fopp=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "which is same as\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+adj%2Fopp=3%2F1 ALIGN=MIDDLE  ALT=\"+adj%2Fopp=3%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+adj=3 ALIGN=MIDDLE  ALT=\"+adj=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++opp=1 ALIGN=MIDDLE  ALT=\"++opp=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "then hypothenuse is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++hyp=sqrt%28adj%5E2%2Bopp%5E2%29 ALIGN=MIDDLE  ALT=\"++hyp=sqrt%28adj%5E2%2Bopp%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++hyp=sqrt%283%5E2%2B1%5E2%29 ALIGN=MIDDLE  ALT=\"++hyp=sqrt%283%5E2%2B1%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++hyp=sqrt%2810%29 ALIGN=MIDDLE  ALT=\"++hyp=sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(a)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++tan%28alpha%29=opp%2Fadj ALIGN=MIDDLE  ALT=\"++tan%28alpha%29=opp%2Fadj\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++tan%28alpha%29=1%2F3 ALIGN=MIDDLE  ALT=\"++tan%28alpha%29=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(b)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+csc%28alpha%29=hyp%2Fopp+ ALIGN=MIDDLE  ALT=\"+csc%28alpha%29=hyp%2Fopp+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+csc%28alpha%29=sqrt%2810%29%2F1 ALIGN=MIDDLE  ALT=\"+csc%28alpha%29=sqrt%2810%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++csc%28alpha%29=sqrt%2810%29 ALIGN=MIDDLE  ALT=\"++csc%28alpha%29=sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(c)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sec%28alpha%29=hyp%2Fadj ALIGN=MIDDLE  ALT=\"+sec%28alpha%29=hyp%2Fadj\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++sec%28alpha%29=sqrt%2810%29%2F3 ALIGN=MIDDLE  ALT=\"++sec%28alpha%29=sqrt%2810%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(d)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28alpha%29=opp%2Fhyp+ ALIGN=MIDDLE  ALT=\"+sin%28alpha%29=opp%2Fhyp+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28alpha%29=1%2Fsqrt%2810%29 ALIGN=MIDDLE  ALT=\"+sin%28alpha%29=1%2Fsqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28alpha%29=sqrt%2810%29%2F10 ALIGN=MIDDLE  ALT=\"+sin%28alpha%29=sqrt%2810%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );