Range of the function \( f(x)=\log _{2}\left(2-\log _{\sqrt{2}}\left(16 \sin ^{2} x+1\right)\rig...

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Range of the function \( f(x)=\log _{2}\left(2-\log _{\sqrt{2}}\left(16 \sin ^{2} x+1\right)\right) \) is :
(a) \( [0,1] \)
(b) \( (-\infty, 1] \)
(c) \( [-1,1] \)
(d) \( (-\infty, \infty) \)
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