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)\"\" \"About 
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( "
\n" );