Question

Match the following:

Column I	Column II
(A) tan-1(1/3) + tan-1(1/7) + tan-1(1/13) + ... + ∞	(i) π/2
(B) sin-1(12/13) + cos-1(4/5) + tan-1(63/16)	(ii) π/4
(C) sin-1(4/5) + 2tan-1(1/3)	(iii) π
(D) cot-19 + cosec-1(√41/4)	(iv) π/3

Answer 1

Correct option (A) →(ii); (B) →(iii); (C)→(i); (D) →(ii)

Explanation:

(A) tan^-1(1/3) + tan^-1(1/7) + tan^-1(1/13) + ... + ∞