document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=674086>Question 674086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem using exact values <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinx=2%2F5 ALIGN=MIDDLE  ALT=\"sinx=2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosx%3C0 ALIGN=MIDDLE  ALT=\"cosx%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  I must use identities to find cosx,tanx,cotx,secx, and cscx. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419014 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=419014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> using exact values <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinx=2%2F5 ALIGN=MIDDLE  ALT=\"sinx=2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosx%3C0 ALIGN=MIDDLE  ALT=\"cosx%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  I must use identities to find cosx,tanx,cotx,secx, and cscx.<BR>\n" );
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document.write( "Since sin is positive and cos is negative the angle is in QII.<BR>\n" );
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document.write( "Since sin(x) = 2/5, y = 2 and r = 5<BR>\n" );
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document.write( "Solve for \"x\":<BR>\n" );
document.write( "x = sqrt(r^2-y^2) = sqrt(25-4) = sqrt(21)<BR>\n" );
document.write( "But x is in QII so x = -sqt(21)<BR>\n" );
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document.write( "sin = y/r = 2/5<BR>\n" );
document.write( "cos = x/r = -sqrt(21)/5<BR>\n" );
document.write( "tan = y/x = -2/sqrt(21)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "csc = r/y = 5/2<BR>\n" );
document.write( "sec = r/x = -5/sqrt(21)<BR>\n" );
document.write( "cot = x/y = -sqrt(21)/2<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );