document.write( "Question 1042627: Given sinA=6/7 and cosB=-1/6, where Ais in quadrant II and B is in quadrant III, find sin(A+B), cos(A-B), and tan(A-b) \n" ); document.write( "

Algebra.Com's Answer #657623 by ikleyn(52832) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Given sin(A) = 6/7 and cos(B) = -1/6, where A is in quadrant II and B is in quadrant III, find sin(A+B), cos(A-B), and tan(A-b)
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Similar problems were solved many times here.\r
\n" ); document.write( "\n" ); document.write( "See the lessons \r
\n" ); document.write( "\n" ); document.write( " - Calculating trigonometric functions of angles\r
\n" ); document.write( "\n" ); document.write( " - Advanced problems on calculating trigonometric functions of angles\r
\n" ); document.write( "\n" ); document.write( "in this site. Find appropriate samples for you there.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The instructions are as follows:\r\n" );
document.write( "\r\n" );
document.write( "1.  Knowing that sin(A) = , calculate cos(A) = +/- .\r\n" );
document.write( "\r\n" );
document.write( "2.  Knowing that the angle A is in QII, determine the sign at the square root in the n.1 above.\r\n" );
document.write( "\r\n" );
document.write( "3.  Knowing that cos(B) = , calculate sin(B) = +/- .\r\n" );
document.write( "\r\n" );
document.write( "4.  Knowing that the angle B is in QIII, determine the sign at the square root in the n.3 above.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "5.  As a last step, apply the formulas \r\n" );
document.write( "\r\n" );
document.write( "       sin(A+B) = sin(A)*cos(B) + cos(A)*sin(B),\r\n" );
document.write( "\r\n" );
document.write( "       cos(A-B) = cos(A)*cos(B) + sin(A)*sin(B).\r\n" );
document.write( "\r\n" );
document.write( "       tan(A-B) = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Notice that you just have everything to substitute into these formulas.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "See also the lessons \r
\n" ); document.write( "\n" ); document.write( " - Addition and subtraction formulas\r
\n" ); document.write( "\n" ); document.write( " - Addition and subtraction formulas - Examples\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );