Question

if tan (a+b)=1 and tan(a-b)= 1/ root 3 find A and B plzz reply fasttt

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Tan(A+B)=1 (given)

But Tan45°=1

Therefore, A+B=45 -----(1)

Tan(A-B)=1/root3

But Tan30°=1/root3

Therefore, A-B=30 -----(2)

Adding (1) and (2),

A+B+A-B=45+30

2A=75

A=37.5°

B=45-A

=45-37.5

=7.5°

Therefore, A=37.5° and B=7.5°