Question

If Tan(A+B) = V3 and Cot(A - B) = 13 then find the values of acute angles A & B ?

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Answer 1

Answer:

Given tan(A+B)=3⟹A+B=60∘⋯(1) 

 tan(A−B)=31⟹A−B=30∘⋯(2) 

(1)+(2)⟹2A=90∘⟹A=45∘

Put A value in (1)

⟹B=60∘−45∘=15∘