SOLUTION: if alpha and beta are the measures of two first quadrant angles and tan alpha = 4/5 and tan beta = 3/4, find tan(alpha+beta)

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Question 445304: if alpha and beta are the measures of two first quadrant angles and tan alpha = 4/5 and tan beta = 3/4, find tan(alpha+beta)
Answer by lwsshak3(11628) About Me  (Show Source):
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if alpha and beta are the measures of two first quadrant angles and tan alpha = 4/5 and tan beta = 3/4, find tan(alpha+beta)
..
let a=alpha
let b=beta
tan (a+b)=(tan a+tan b)/(1-tan a tan b)
=(4/5+3/4)/(1-4/5*3/4)
=(16/20+15/20)/1-12/20
=(31/20)/(8/20)
tan (a+b)=31/8 (ans)