document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114968>Question 1114968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given sin (A) = 3/5 with 0 < A < 90 and cos (B) = 4/5 with 270 < B < 360, which expression gives the value of sin(A-B)?\r<BR>\n" );
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document.write( "A. -24/25<BR>\n" );
document.write( "B. 0<BR>\n" );
document.write( "C. 24/25<BR>\n" );
document.write( "D. 1 </SPAN>\n" );
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document.write( "Using the pythagorean identity, you'll find that <BR>\n" );
document.write( "cos(A) = 4/5<BR>\n" );
document.write( "sin(B) = -3/5<BR>\n" );
document.write( "Note: Since B is in quadrant 4, the sine value here is negative\r<BR>\n" );
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document.write( "So,<BR>\n" );
document.write( "sin(A-B) = sin(A)*cos(B)-cos(A)*sin(B)<BR>\n" );
document.write( "sin(A-B) = (3/5)*(4/5) - (4/5)*(-3/5)<BR>\n" );
document.write( "sin(A-B) = 12/25 + 12/25<BR>\n" );
document.write( "sin(A-B) = <font color=red size=4>24/25</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
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