document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923449>Question 923449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose sin(x) = 1/2 and tan(x) > 0.\r<BR>\n" );
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document.write( "Find sin(x + 5&#960;/6) and cos(x - 5&#960;/3).\r<BR>\n" );
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document.write( "sin(x + 5&#960;/6) =   \r<BR>\n" );
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document.write( "cos(x - 5&#960;/3) = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560091 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=560091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose sin(x) = 1/2 and tan(x) > 0.<BR>\n" );
document.write( "Find sin(x + 5&#960;/6) and cos(x - 5&#960;/3).<BR>\n" );
document.write( "sin(x + 5&#960;/6) =<BR>\n" );
document.write( "cos(x - 5&#960;/3) =<BR>\n" );
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document.write( "reference angle x is in quadrant I where sin>0, cos>0<BR>\n" );
document.write( "use addition formulas for sin and cos<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sinx=1/2 (working with a (30-60) reference right triangle in quadrant I)<BR>\n" );
document.write( "cosx=&#8730;3/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(x+5&#960;/6) =sinxcos(5&#960;/6)+cosxsin(5&#960;/6)=1/2*-&#8730;3/2+&#8730;3/2*1/2=&#8730;3/4+&#8730;3/4=2&#8730;3/4=&#8730;3/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cos(x-5&#960;/3)=cosxcos(5&#960;/6)-sinxsin(5&#960;/6)=&#8730;3/2*-&#8730;3/2-1/2*1/2=3/4-1/4=1/2 </SPAN>\n" );
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