document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617861>Question 617861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sin a=-5/6 and cos B=11/15. If a is in Quadrant IV and B is in Quadrant I, find sin(a-b). Give an exact answer. </SPAN>\n" );
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document.write( "FIRST OF ALL WE START WITH SIN A = -5/6. IN WHICH ITS ON THE FOURTH QUADRANT.\r<BR>\n" );
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document.write( " COS A IS FOUND BY USING PYTHAGORAS THEOREM. \r<BR>\n" );
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document.write( "THEREFORE COS A = SQRT 11 / 6\r<BR>\n" );
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document.write( "SECONDLY WE GO WITH COS B = 11/15 . IN WHICH IT IS ON THE FIRST QUADRANT. \r<BR>\n" );
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document.write( "SIN B IS FOUND BY USING PYTHAGORAS THEOREM.\r<BR>\n" );
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document.write( "THEREFORE SIN B = SQRT 104 / 15.\r<BR>\n" );
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document.write( "WE FIND SIN( A - B ) USING THE SIN RULE.\r<BR>\n" );
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document.write( "SINA COSB - COSA SINB \r<BR>\n" );
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document.write( "- 5/6 * 11/15 - SQRT 11/6 * SQRT 104 /15\r<BR>\n" );
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document.write( "- 11/ 18 -  SQRT 286 / 45 \r<BR>\n" );
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document.write( "-55 - 2 SQRT 286 / 90 \r<BR>\n" );
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document.write( "NOTE\r<BR>\n" );
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document.write( "SIN ( A + B) = SINA COS B + COSA SINB <BR>\n" );
document.write( "COS (A + B) = COS A COS B + SIN A SINB <BR>\n" );
document.write( "COS (A -B) = COS A COS B - SINA SIN B<BR>\n" );
document.write( "  </SPAN>\n" );
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