1.

If \[a\,{{\cos }^{3}}\alpha +3a\,\cos \alpha \,{{\sin }^{2}}\alpha =m\] and\[a\,{{\sin }^{3}}\alpha +3a\,{{\cos }^{2}}\alpha \sin \alpha =n,\] 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. \[2{{a}^{3}}\]
Answer» D. \[2{{a}^{3}}\]


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