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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