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Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation

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Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation cos-1 (x) - 2 sin-1 (x) = cos-1 (2x) is equal to :

(A) 0

(B) 1

(C) 1/2

(D) -1/2

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 Correct option is (A) 0

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