document.write( "Question 589614: Find the value of tan (a+b) if sin a = -5/13, cos b = 4/5
\n" );
document.write( "270 degrees < a < 360 degrees
\n" );
document.write( "270 degrees < b <360 degrees\r
\n" );
document.write( "\n" );
document.write( "Thank you so much! \n" );
document.write( "
Algebra.Com's Answer #374934 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find the value of tan (a+b) if sin a = -5/13, cos b = 4/5 \n" ); document.write( "270 degrees < a < 360 degrees (quadrant IV) \n" ); document.write( "270 degrees < b <360 degrees (quadrant IV) \n" ); document.write( "** \n" ); document.write( "use tan addition formula: \n" ); document.write( "tan(a+b)=(tan a+tan b)/1-tan a*tan b \n" ); document.write( "if sin a=-5/13 \n" ); document.write( "tan a=-5/12 \n" ); document.write( "if cos b=4/5 \n" ); document.write( "tan b=-3/4 \n" ); document.write( ".. \n" ); document.write( "tan(a+b)=(-5/12-3/4)/1-5/12*3/4 \n" ); document.write( "tan(a+b)=(-14/12/1-15/48 \n" ); document.write( "tan(a+b)=(-14/12)/(33/48)≈-1.7 \n" ); document.write( " \n" ); document.write( " |