Number of degrees in the smallest positive angle \( x \) such that \( 8 \sin x \cos ^{5} x-8 \si...

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Number of degrees in the smallest positive angle \( x \) such that \( 8 \sin x \cos ^{5} x-8 \sin ^{5} x \cos x=1 \) is
(a) \( 5^{\circ} \)
(b) \( 7.5^{\circ} \)
(c) \( 10^{\circ} \)
(d) \( 15^{\circ} \)
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