Question

If tan (45°+B) = 2 + root3 , then find tan B and the measure of b.​

Answer 1

Answer:

B=30°

Explanation:

Tan (45°+B)=2+√3

Tan 45°+ Tan B/1-Tan 45° Tan B=2+√3

1 +Tan B/1-1 ×Tan B=2+√3

1+Tan B/ 1-Tan B =2+√3

1+Tan B =(2+√3)(1-Tan B)

1+Tan B=2-2 Tan B +√3-√3 Tan B

3 Tan B+√3 Tan B= 2-1+√3

Tan B(3+√3)=1+√3

Tan B= 1+√3/3+√3

Tan B=1+√3/3(1+√3)

Tan B = 1/√3

[Tan 30°=1/√3]

B=30°

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