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Given, Tan (A+B) = root (3)
And, Tan (A-B) = 1/root(3)
[Taking Tan inverse on both sides :]
Tan inverse [root3] = 60 .. (since Tan 60 = root 3)
Tan inverse [1/root3] = 30 .. (since Tan 30 = 1/root3)
Hence,
A+B = 60 ....... (i)
A-B = 30 ........ (ii)
Adding equations (i) & (ii)
2A = 90
A = 45 degree
Hence, A+B = 60
B = 60-A = 60 - 45 = 15 degree
Answer: A = 45 degree, B = 15 degree
Hope it helps.
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