Hi, got this question and I've got the answer=9/19, but the answer given in the book is 63/16.

I am using the identity Tan(A+B)=(TanA+TanB)/(1-[TanATanB]). The question is as follows;

Given that A and B are acute angles such that sinA=5/13 and cosB=3/5, find the exact value of Tan(A+B).

I've got as far as the identity (shown above) and have TanA=5/12 and TanB=4/3, using pythagoras triples. However when I put this into the identity I get completly confused. Can someone check that my values for TanA and TanB are correct and show me how to complete the question. Thanks in advance everyone.