# Number of solutions to the equation 2tan^-1(cos x) = tan^-1(2cosec x) in the interval (-2π, 2π) is

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Number of solutions to the equation 2tan-1(cos x) = tan-1(2cosec x) in the interval (-2π, 2π) is

(A) 4

(B) 3

(C) 7

(D) No solution

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Correct option (A) 4

Explanation:

⇒ cosec x = 0 which is not possible, and

cotx = 1 which has 4 solutions.