Trigonometric EquationHard

Question

Let x ∈ then :

Options

A.cos^-1(sin(cos^-1(cos x)-2 tan^-1(tan x))) = - x

B.cos^-1(sin(cos^-1(cos x)-2 tan^-1(tan x))) = - x

C.tan^-1cot(2sin^-1(sinx) + tan^-1(tan x))) = + x

D.tan^-1cot(2sin^-1(sinx) + tan^-1(tan x))) = x -

Solution

If x ∈
cos^-1 (cos x) = x - 2π

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