Read the following statements.

I) For real \(x\), \(\left\{ x \right\} \) is always positive. (\(\left\{ x \right\} \) is the fractional part of \(x\)).

II) If \(\frac { 2x }{ \pi } \) is real but not an integer and \(\cos { x } \) is known, then \(\cot { x }, \sin { x }, \tan { x }, \sec { x }, \csc { x }\) are also known.

III) If \({ a }^{ 3 }+{ b }^{ 3 }+{ c }^{ 3 }=3abc\), then \(a+b+c=0\).

Which of the given statements are true?

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