If \[\sin (\alpha -\beta )=\frac{1}{2}\]and \[\cos (\alpha +\beta )=\frac{1}{2},\]where \[\alpha \] and \[\beta \] are positive acute angles, then

\[\alpha =15{}^\circ ,\beta =45{}^\circ \]

\[\alpha =45{}^\circ ,\beta =15{}^\circ \]

\[\alpha =60{}^\circ ,\beta =15{}^\circ \]

If \[\sin (\alpha -\beta )=\frac{1}{2}\]and \[\cos (\alpha +\beta )=\f

1.	If \[\sin (\alpha -\beta )=\frac{1}{2}\]and \[\cos (\alpha +\beta )=\frac{1}{2},\]where \[\alpha \] and \[\beta \] are positive acute angles, then
A.	\[\alpha =45{}^\circ ,\beta =15{}^\circ \]
B.	\[\alpha =15{}^\circ ,\beta =45{}^\circ \]
C.	\[\alpha =60{}^\circ ,\beta =15{}^\circ \]
D.	None of these
Answer» B. \[\alpha =15{}^\circ ,\beta =45{}^\circ \]

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If \[\sin (\alpha -\beta )=\frac{1}{2}\]and \[\cos (\alpha +\beta )=\frac{1}{2},\]where \[\alpha \] and \[\beta \] are positive acute angles, then

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