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If 2 sin ^(2) x + 3 sin x - 2 gt 0 and x...

If `2 sin ^(2) x + 3 sin x - 2 gt 0 and x^(2) - x - 2 lt 0` (x is measured in radians) then x lies in

A

`((pi)/(6),(5 pi)/(6))`

B

`(-(pi)/( 6),(5 pi)/(6))`

C

`(- 1, 2)`

D

`((pi)/(6) , 2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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