document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868399>Question 868399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm really stuck on this, any help is greatly appreciated!\r<BR>\n" );
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document.write( "Find the exact values of the sine, cosine, and tangent of theta = -(7pi/12)\r<BR>\n" );
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document.write( "Thanks again :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523542 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=523542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exact values of the sine, cosine, and tangent of theta = -(7pi/12) <BR>\n" );
document.write( "theta=-(7&#960;/12)=(5&#960;/12)=(2&#960;/12+3&#960;/12)=(&#960;/6+&#960;/4) (reference angle 5&#960;/12 in quadrant III in which sin>0, cos>0, tan>0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(&#960;/6+&#960;/4)=sin(&#960;/6)*cos(&#960;/4)+cos(&#960;/6)*sin(&#960;/4)=(1/2)*(&#8730;2/2)+(&#8730;3/2)*(&#8730;2/2)=&#8730;2/4+&#8730;6/4=(&#8730;2+&#8730;6)/4<BR>\n" );
document.write( "cos(&#960;/6+&#960;/4)=cos(&#960;/6)*cos(&#960;/4)-sin(&#960;/6)*sin(&#960;/4)=(&#8730;3/2)*(&#8730;2/2)-(1/2)*(&#8730;2/2)=&#8730;6/4-&#8730;2/4=(&#8730;6-&#8730;2)/4<BR>\n" );
document.write( "tan(&#960;/6+&#960;/4)=sin(&#960;/6+&#960;/4)/cos(&#960;/6+&#960;/4=(&#8730;2+&#8730;6)/(&#8730;6-&#8730;2)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Calculator check:<BR>\n" );
document.write( "tan(-(7&#960;/12))=tan(5&#960;/12)&#8776;3.732… (in quadrant III)<BR>\n" );
document.write( "Exact value as calculated=(&#8730;2+&#8730;6)/(&#8730;6-&#8730;2)&#8776;3.732…<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(-(7&#960;/12))=sin(5&#960;/12)&#8776;-0.9659 (in quadrant III)<BR>\n" );
document.write( "Exact value as calculated=-(&#8730;2+&#8730;6)/4&#8776;-0.9659…<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cos(-(7&#960;/12))=cos(5&#960;/12)&#8776;-0.2588… (in quadrant III)<BR>\n" );
document.write( "Exact value as calculated=-(&#8730;6-&#8730;2)/4&#8776;-0.2588… </SPAN>\n" );
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