If tan A = 5/6, tan B = 1/11, prove that A + B = π/4.

Question

If tan A = 5/6, tan B = 1/11, prove that A + B = &pi;/4.

Shiksha Nation · Accepted Answer

tan A = 5/6, tan B = 1/11tan (A + B) = (tan A + tan B) / (1 - tan A tan B)= (5/6 + 1/11) / (1 - (5/6)(1/11))= (55 + 6/61) / (66 - 5/61)= 61/61 = 1⇒ A + B = π/4

If tan A = ⁵/₆, tan B = ¹/₁₁, prove that A + B = π/4.

Verified Answer