document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915095>Question 915095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given information to find the exact value of each of the following.\r<BR>\n" );
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document.write( "a) sin of 2 theta <BR>\n" );
document.write( "b)cosine of 2 theta<BR>\n" );
document.write( "c) tan of 2 theta\r<BR>\n" );
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document.write( "given sin theta = -9/41 (sin theta lies in quadrant III)\r<BR>\n" );
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document.write( "any help would be really appreciated. Im stuck and having an example to work from could really help\r<BR>\n" );
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document.write( "thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555453 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=555453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the given information to find the exact value of each of the following.<BR>\n" );
document.write( "a) sin of 2 theta<BR>\n" );
document.write( "b)cosine of 2 theta<BR>\n" );
document.write( "c) tan of 2 theta<BR>\n" );
document.write( "given sin theta = -9/41 (sin theta lies in quadrant III) <BR>\n" );
document.write( "***<BR>\n" );
document.write( "Use x for theta<BR>\n" );
document.write( "sinx=-9/41(given)<BR>\n" );
document.write( "cosx=&#8730;(1-sin^2x)=&#8730;1-(81/1681))=&#8730;(1600/1681)=40/41<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a)sin2x=2sinxcosx=2*(-9/41)*(40/41)=-720/1681&#8776;0.4283<BR>\n" );
document.write( "b)cosine2x=1-2sin^2x=1-2*(-9/41)^2=1-0.0964&#8776;0.9036<BR>\n" );
document.write( "c)tan2x=sin2x/cos2x=-(720/1681)/.9036)&#8776;-0.4740<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "sinx=-9/41<BR>\n" );
document.write( "x=167.32&#730;<BR>\n" );
document.write( "2x=334.64&#730;<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a)sin2x=sin(334.64&#730;)=-0.4283 (w/calculator)<BR>\n" );
document.write( "as computed:-720/1681&#8776;-0.4283<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b)cos2x=cos(334.64&#730;)=0.9036 (w/calculator)<BR>\n" );
document.write( "as computed:=1-2*(-9/41)^2&#8776;0.9036<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c)tan2x=tan(334.64&#730;)=0.4740 (w/calculator)<BR>\n" );
document.write( "as computed:=-(720/1681)/.9036)&#8776;0.4740 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );