Question

If tan A = V3 and B is an acute angle then find the value of B.​

Answer 1

Answer:

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Given tan(A+B)=$\sqrt{3}$⟹A+B=60∘⋯(1) 

 tan(A−B)=$\sqrt[1]{3}$⟹A−B=30∘⋯(2) 

(1)+(2)⟹2A=90∘⟹A=45∘

Put A value in (1)

⟹B=60∘−45∘=15∘

Answer 2

Answer:

Given tan(A+B)=\sqrt{3}

3

⟹A+B=60∘⋯(1)

tan(A−B)=\sqrt[1]{3}

1

3

⟹A−B=30∘⋯(2)

(1)+(2)⟹2A=90∘⟹A=45∘

Put A value in (1)

⟹B=60∘−45∘=15∘

Step-by-step explanation:

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