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

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1.	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
Answer» B. \[{{m}^{2}}+{{n}^{2}}=1\]

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

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