SOLUTION: 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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Question 1028460: 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)
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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)]
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Cheers,
Stan H.
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Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
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) = %28tan%28A%29%2Atan%28B%29%29%2F%281-tan%28A%29%2Atan%28B%29%29   

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


Substitute the given data, and you will get

tan(A+B) = %28%281%2F3%29%2A%281%2F4%29%29%2F%281-%281%2F3%29%2A%281%2F4%29%29 = %28%281%2F12%29%29%2F%281-1%2F12%29 = 1%2F11.