If \[2\sec 2\alpha =\tan \beta +\cot \beta ,\]then one of the values of \[\alpha +\beta \]is [Karnataka CET 2000]

If \[2\sec 2\alpha =\tan \beta +\cot \beta ,\]then one of the values o

1.	If \[2\sec 2\alpha =\tan \beta +\cot \beta ,\]then one of the values of \[\alpha +\beta \]is [Karnataka CET 2000]
A.	\[\frac{\pi }{4}\]
B.	\[\frac{\pi }{2}\]
C.	\[\pi \]
D.	\[2\pi \]
Answer» B. \[\frac{\pi }{2}\]