Question 1028460
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if A and B are angles such that tana=1/3 and tanb =1/4 find and simplify a numerical value for tan ( a+b)
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tan(A+B) = {{{(tan(A)*tan(B))/(1-tan(A)*tan(B))}}}   

(see the lesson A HRE=https://www.algebra.com/algebra/homework/Trigonometry-basics/Addition-and-subtraction-formulas.lesson>Addition and subtraction formulas</A> in this site.) 


Substitute the given data, and you will get

tan(A+B) = {{{((1/3)*(1/4))/(1-(1/3)*(1/4))}}} = {{{((1/12))/(1-1/12)}}} = {{{1/11}}}. 
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