document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860242>Question 860242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given Tan x= 2/5 with &#960; < x < 3&#960;/2 <BR>\n" );
document.write( "find sin x/2 cos x/2 tan x/2<BR>\n" );
document.write( "sin 2x cos 2x and tan 2x<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 #518321 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=518321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given Tan x= 2/5 with &#960; < x < 3&#960;/2 <BR>\n" );
document.write( "find sin x/2 cos x/2 tan x/2<BR>\n" );
document.write( "sin 2x cos 2x and tan 2x<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Reference right  triangle is in quadrant III in which sin<0, cos<0, tan>0<BR>\n" );
document.write( "Hypotenuse=&#8730;(2^2+5^2)=&#8730;(4+25)=&#8730;29<BR>\n" );
document.write( "sin(x)=-2/&#8730;29<BR>\n" );
document.write( "cos(x)=-5/&#8730;29\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%2F2%29=sqrt%28%281-cos%28x%29%29%2F2%29=sqrt%28%281%2B5%2Fsqrt%2829%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"sin%28x%2F2%29=sqrt%28%281-cos%28x%29%29%2F2%29=sqrt%28%281%2B5%2Fsqrt%2829%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%2F2%29=sqrt%28%281%2Bcos%28x%29%29%2F2%29=sqrt%28%281-5%2Fsqrt%2829%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"cos%28x%2F2%29=sqrt%28%281%2Bcos%28x%29%29%2F2%29=sqrt%28%281-5%2Fsqrt%2829%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%2F2%29=sin%28x%29%2F%281%2Bcos%28x%29%29=%28-2%2Fsqrt%2829%29%29%2F%281-5%2Fsqrt%2829%29%29=2%2F%28sqrt%2829%29-5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282x%29=2sin%28x%29cos%28x%29=2%2A%28-2%2Fsqrt%2829%29%29%2A%28-5%2Fsqrt%2829%29%29=20%2F29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%282x%29=cos%5E2%28x%29-sin%5E2%28x%29=25%2F29-4%2F29=21%2F29 ALIGN=MIDDLE  ALT=\"cos%282x%29=cos%5E2%28x%29-sin%5E2%28x%29=25%2F29-4%2F29=21%2F29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282x%29=sin%282x%29%2Fcos%282x%29=20%2F21 ALIGN=MIDDLE  ALT=\"tan%282x%29=sin%282x%29%2Fcos%282x%29=20%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Note: Let me know if my solution(s) are correct, helpful and understandable. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );