1.

If \[\tan \theta =\frac{\sin \alpha -\cos \alpha }{\sin \alpha +\cos \alpha },\]then \[\sin \alpha +\cos \alpha \] and \[\sin \alpha -\cos \alpha \] must be equal to [WB JEE 1971]

A. \[\sqrt{2}\cos \theta ,\,\,\sqrt{2}\sin \theta \]
B. \[\sqrt{2}\sin \theta ,\,\,\sqrt{2}\cos \theta \]
C. \[\sqrt{2}\sin \theta ,\,\,\sqrt{2}\sin \theta \]
D. \[\sqrt{2}\,\cos \theta ,\,\,\sqrt{2}\,\cos \theta \]
Answer» B. \[\sqrt{2}\sin \theta ,\,\,\sqrt{2}\cos \theta \]


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