If \( a \cos ^{3} \alpha+3 a \cos \alpha \sin ^{2} \alpha=m \) and \( a \sin ^{3} \alpha+3 a \co...
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0If \( a \cos ^{3} \alpha+3 a \cos \alpha \sin ^{2} \alpha=m \) and \( a \sin ^{3} \alpha+3 a \cos ^{2} \alpha \sin \alpha=n \). Then, \( (m+n)^{2 / 3}+(m-n)^{2 / 3} \) is equal to
(a) \( 2 a^{2} \)
(b) \( 2 a^{1 / 3} \)
(c) \( 2 a^{2 / 3} \)
(d) \( 2 a^{3} \)
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