Question

If tan(A - B) =1/root3
and tan (A + B) = root3, find A and B.
​

Answer 1

tan(A - B) = $\frac{1}{\sqrt{3}}$

tan(A - B) = tan30°

Cancelling tan from both side we get:

A - B = 30° ----> (1)

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

tan(A + B) = tan60°

Cancelling tan from both side we get:

A + B = 60° -----> (2)

Adding (1) and (2) :

2A = 90°

=> A = 45°

From equation (1)

A - B = 30°

=> 45° - B = 30°

=> B = 15°

Answer 2

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