Q) If tan (A + B) = √3 and tan (A – B) = 
; 0° < A + B < 90°; A > B, find A and B.
Ans:
Given that, tan (A + B) = √3 = tan 60°
Hence, A + B = 60° ………… (i)
Next, its given that, tan (A – B) = = tan 30°
Hence, A – B = 30° ………… (i)
By solving equations (i) and (ii), we get,
A = 450 and B = 150