question_answer

If \[\cos ec\theta -\sin \theta =m\] and, \[\sec \theta -\cos \theta \]\[=n\] then _______.

A)  \[{{\left( {{m}^{2}}n \right)}^{\frac{2}{3}}}+{{\left( m{{n}^{2}} \right)}^{\frac{2}{3}}}=1\]

B)  \[{{\left( {{m}^{2}}{{n}^{2}} \right)}^{\frac{1}{3}}}+{{\left( m{{n}^{2}} \right)}^{\frac{1}{3}}}=1\]

C)  \[{{\left( m{{n}^{2}} \right)}^{\frac{1}{3}}}+{{\left( {{m}^{2}}{{n}^{2}} \right)}^{\frac{2}{3}}}=1\]                   

D)  \[{{\left( {{m}^{2}}{{n}^{2}} \right)}^{\frac{1}{3}}}+{{\left( {{m}^{2}}{{n}^{2}} \right)}^{\frac{1}{3}}}=1\]

E)  None of these