If \[2\left| \sin 2\alpha \right|=\left| \tan \beta +\cot \beta \right|,\alpha ,\beta \in \left( \frac{\pi }{2},\pi \right)\],then the value of \[\alpha +\beta \]is

If \[2\left| \sin 2\alpha \right|=\left| \tan \beta +\cot \beta \r

1.	If \[2\left\| \sin 2\alpha \right\|=\left\| \tan \beta +\cot \beta \right\|,\alpha ,\beta \in \left( \frac{\pi }{2},\pi \right)\],then the value of \[\alpha +\beta \]is
A.	\[\frac{3\pi }{4}\]
B.	\[\pi \]
C.	\[\frac{3\pi }{2}\]
D.	\[\frac{5\pi }{4}\]
Answer» D. \[\frac{5\pi }{4}\]

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If \[2\left| \sin 2\alpha \right|=\left| \tan \beta +\cot \beta \right|,\alpha ,\beta \in \left( \frac{\pi }{2},\pi \right)\],then the value of \[\alpha +\beta \]is

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