document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=751293>Question 751293</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If sin(theta)= (sqrt2)/5, and pi/2 < theta < pi, then find the exact value of tan(2theta) using identities (NO inverse trig, or SOHCAHTOA) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457142 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=457142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If sin(theta)= (sqrt2)/5, and pi/2 < theta < pi, then find the exact value of tan(2theta) using identities<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Identity: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282x%29=2tan%28x%29%2F%281-tan%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"tan%282x%29=2tan%28x%29%2F%281-tan%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=sqrt%281-sin%5E2%28x%29%29=sqrt%281-2%2F25%29=sqrt%2823%2F25%29 ALIGN=MIDDLE  ALT=\"cos%28x%29=sqrt%281-sin%5E2%28x%29%29=sqrt%281-2%2F25%29=sqrt%2823%2F25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28x%29=1%2Fcos%28x%29=sqrt%2825%2F23%29 ALIGN=MIDDLE  ALT=\"sec%28x%29=1%2Fcos%28x%29=sqrt%2825%2F23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Identity: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29=sqrt%28sec%5E2%28x%29-1%29=sqrt%2825%2F23-1%29=sqrt%282%2F23%29 ALIGN=MIDDLE  ALT=\"tan%28x%29=sqrt%28sec%5E2%28x%29-1%29=sqrt%2825%2F23-1%29=sqrt%282%2F23%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%282x%29=2tan%28x%29%2F%281-tan%5E2%28x%29%29=2sqrt%282%2F23%29%2F%281-2%2F23%29=2sqrt%282%2F23%29%2F%2821%2F23%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "Check with calculator:<BR>\n" );
document.write( "sin(x)=&#8730;2/5<BR>\n" );
document.write( "x&#8776;16.43º<BR>\n" );
document.write( "2x&#8776;32.86º<BR>\n" );
document.write( "tan(2x)=tan(32.86º)&#8776;0.6459<BR>\n" );
document.write( "exact value=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%282%2F23%29%2F%2821%2F23%29 ALIGN=MIDDLE  ALT=\"2sqrt%282%2F23%29%2F%2821%2F23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >&#8776;0.6459 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );