If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,...

If `2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi),` then the value of `alpha+beta` is (a)`(3pi)/4` (b) `pi` (c) `(3pi)/2` (d) `(5pi)/4`

`(3pi)/(4)`

`pi`

`(3pi)/(2)`

`(5pi)/(4)`

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