A) \[-\frac{1}{\sqrt{2}}\]
B) \[\frac{1}{2}\]
C) \[\frac{1}{\sqrt{2}}\]
D) \[1\]
Correct Answer: C
Solution :
[c] Given equation is \[{{\tan }^{-1}}(-\alpha +\sin \theta )+{{\cot }^{-1}}(\theta -\cos \theta )=\frac{\pi }{2}\] \[\Rightarrow -\alpha +\sin \theta =\alpha -\cos \theta \]\[\Rightarrow \,\,2\alpha =\sin \theta +\cos \theta \in \left[ -\sqrt{2},\sqrt{2} \right]\]You need to login to perform this action.
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