The range of the function \( f(x)=\cos \left(\cos ^{-1}\{x\}\right) \) is (where \( \{ \). denot...

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The range of the function \( f(x)=\cos \left(\cos ^{-1}\{x\}\right) \) is (where \( \{ \). denotes the fractional part function)
(a) \( [0,1) \)
(b) \( [0,1] \)
(c) \( (0,1) \)
(d) \( (0,1] \)
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