If range of \( f(x)=\cos ^{-1}\left(x^{2} \cdot \cos 1+\sin 1 \cdot...

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If range of \( f(x)=\cos ^{-1}\left(x^{2} \cdot \cos 1+\sin 1 \cdot \sqrt{1-x^{4}}\right) \) is \( [a, b] \), then \( (b-a) \) is equal to :
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(a) \( \frac{\pi}{2} \)
(b) \( \pi \)
(c) \( 6-\frac{3 \pi}{2} \)
(d) 1
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