document.write( "Question 746701: Given: angles A and B are in Quadrant I, where
\n" ); document.write( "tanA = 1/7 sinB= 5/SQRT74 \r
\n" ); document.write( "\n" ); document.write( "Find the exact value of tan(A+B). \n" ); document.write( "
Algebra.Com's Answer #454422 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Given: angles A and B are in Quadrant I, where
\n" ); document.write( "tanA = 1/7 sinB= 5/SQRT74
\n" ); document.write( "Find the exact value of tan(A+B).
\n" ); document.write( "\"sin%28B%29=5%2Fsqrt%2874%29\"
\n" ); document.write( "\"cos%28B%29=sqrt%281-sin%5E2%28B%29%29=sqrt%281-25%2F74%29=sqrt%2849%2F74%29=7%2Fsqrt%2874%29\"
\n" ); document.write( "tanB=sinB/cosB=5/7
\n" ); document.write( "tan(A+B)=(tanA+tanB)/(1-tanAtanB)
\n" ); document.write( "=(1/7+5/7)/(1-1/7*5/7)=6/7/(1-5/49)
\n" ); document.write( "=(6/7)/(44/49)
\n" ); document.write( "=294/308
\n" ); document.write( "Check: (with calculator)
\n" ); document.write( "tanA=1/7
\n" ); document.write( "A≈8.1301º
\n" ); document.write( "sinB=5/√74
\n" ); document.write( "B≈35.5377º
\n" ); document.write( "A+B≈43.6678
\n" ); document.write( "tan(A+B)≈tan(43.6678º)≈0.9545..
\n" ); document.write( "Exact ans.=294/308≈0.9545..
\n" ); document.write( " \n" ); document.write( "
\n" );