# Find the truth 8

Algebra Level 5

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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