document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767510>Question 767510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the exact value of the expression using the provided information\r<BR>\n" );
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document.write( "find sin (A-B) given that cos A= 1/3 with A in quadrant I and sin B = -1/2 with B in quadrant IV </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467651 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=467651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the exact value of the expression using the provided information <BR>\n" );
document.write( "find sin (A-B) given that cos A= 1/3 with A in quadrant I and sin B = -1/2 with B in quadrant IV<BR>\n" );
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document.write( "cos A= 1/3 with A in quadrant I<BR>\n" );
document.write( "sin A = sqrt(3^2-1^2)/3 = sqrt(8)/3 = (2/3)sqrt(2)<BR>\n" );
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document.write( "sin B = -1/2 with B in quadrant IV<BR>\n" );
document.write( "cos B = sqrt(2^2-1^2)/2 = sqrt(3)/2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "sin(A-B) = sinAcosB - cosAsinB<BR>\n" );
document.write( "= [(2/3)sqrt(2)*sqrt(3)/2) - (1/3)(-1/2)<BR>\n" );
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document.write( "= (1/3)sqrt(6) + 1/6<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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