Question

If Tan A = 1/2 and Tan B = 1/3
By using Tan(A+B) = (Tan A + Tan B )/(1-Tan A.Tan B ) Prove that A+B=45°

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Answer 1

Answer:

Step-by-step explanation:

Given that, tanA = 1/3

tanB = 1/2

tan (A+ B) = ( tanA + tanB) / (1 - tanA tanB)

= (1/3 +1/2) / (1- 1/3×1/2)

= (5/6) / ( 1- 1/6)

= (5/6)/(5/6)

tan (A+B) =1

(A + B) = tan(−1)1

( A+ B) = 45∘

Answer 2

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