Question

If tan(A+B)= √3 , and tan(AB) = 1/√3. Find A and B if 0

Answer 1

I think The question is wrong It should be tan(A-B) = 1/root 3 not tan(AB) = 1/root 3

Assuming the above:-

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

A + B = 60------1

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

A - B = 30-------2

Adding 1 and 2

A + B = 60

A - B = 30
--------------
2A = 90
--------------

A = 45

Substituiting A in 1

45 + B = 40

B = 15.

Hope it Helps!!

Mark As Brainlist!!