SOLUTION: If A and B are acute angles such that sin(A) = 3/5 and cos(B) = 5/13, find tan(A+B) without evaluating A or B

Question 1108772: If A and B are acute angles such that sin(A) = 3/5 and cos(B) = 5/13, find tan(A+B) without evaluating A or B
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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1.  If  sin(A) = ,  then  cos(A) =  =  =  =  =  = ,  and, hence,  tan(A) =  =  = .


2.  If  cos(B) = ,  then  sin(B) =  =  =  =  =  = ,  and, hence,  tan(B) =  =  = .


3.  Now  tan(A+B) =  =  =  =  =  = .

Answer. tan(A+B) = .

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