(A) If y = cos^-1((2cosx - 3sinx)/√13), then dy/dx is

Question

Match the following:

Column I	Column II
(A) If y = cos-1((2cosx - 3sinx)/√13), then dy/dx is	(i) π/14
(B) cos-1[sin(46π/7)] is	(ii) π/2
(C) if |x|  ≥ 1, a > 0 and sum of series ∑((sec-1√|x| + cosec-1√|x|)/aπ)n for n ∈ [n=1, x] is finite, then value of a is	(iii) (1/2, ∞)
(D) Let f(x) = (cosec-1x + cos-1(1/x))/cosecx. Then the greatest value is	(iv) 1

Answer 1

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

Explanation: