Question

If tan (A+B) = 3 and tan (A-B) = 1 by 3
0 degree <A+B < 90 degree , A>B find A and B​

Answer 1

Step-by-step explanation:

tan(A+B) = 3

tan (A+B) = tan 60°

A+B = 60° (1)

tan (A-B) = 1/3

tan (A-B) = tan 30°

A-B = 30° (2)

Adding (1) and (2), we get

2A = 90°

A = 45°

Putting A = 45° in (1), we get

45° + B = 60°

B = 60° - 45°

B = 15°

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Answer 2

Step-by-step explanation:

45° and 15° respectively....

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