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Find the domain of the function f(x) = √(sin^-1|sinx| - cos^-1|cosx|) for all x [0, 2π]

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Find the domain of the function f(x)

= √(sin-1|sinx| - cos-1|cosx|) for all x [0, 2π]

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The function f is defined for 

 sin–1|sinx| ≥ cos–1(cos x)

From the above relation, it is clear that

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