document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=771795>Question 771795</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If sinx=3/5 and x is in quadrant 2, then what is the value of tan x/2? I cannot tell if i should use arcsin to solve this I am very confused </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #470728 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=470728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If sinx=3/5 and x is in quadrant 2, then what is the value of tan x/2? I cannot tell if i should use arcsin to solve this I am very confused<BR>\n" );
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document.write( "You are working with a 3-4-5 reference right triangle in quadrant II where sin>0, cos<0, tan<0.<BR>\n" );
document.write( "sinx=3/5<BR>\n" );
document.write( "cosx=-4/5<BR>\n" );
document.write( "Identity: tan(x/2)=(sinx)/(1+cosx)<BR>\n" );
document.write( "=(3/5)/(1-4/5)=3/5/1/5=3<BR>\n" );
document.write( "tan(x/2)=3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Calculator check:<BR>\n" );
document.write( "tanx=-3/4<BR>\n" );
document.write( "x=143.13º<BR>\n" );
document.write( "x/2=71.565<BR>\n" );
document.write( "tan 71.565º&#8776;2.999...<BR>\n" );
document.write( "exact value=3 </SPAN>\n" );
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