question_answer

                                               If\[\mathbf{m=sin}\theta \mathbf{+cos}\theta \] and \[\mathbf{n = sin }\theta \mathbf{ -cos }\theta \], then which of the following is true?

A)  \[{{m}^{2}}+{{n}^{2}}=2\]

B)  \[{{m}^{2}}+{{n}^{2}}=1\]

C)  \[{{m}^{2}}-{{n}^{2}}=1\]                                                 

D)  \[{{m}^{2}}+{{n}^{2}}=3\]

E)  None of these