If (y+3)/(2y+5)=sin^2x+2cosx+1, then the...

If `(y+3)/(2y+5)=sin^2x+2cosx+1,` then the value of `y` lies in the interval `(-oo,-8/3)` (b) `(-(12)/5,oo)` `(-8/3,-(12)/5)` (d) `(-8/3,oo)`

A

`(-oo,-(8)/(3)]`

B

`[-(12)/(5),oo)`

C

`[-(8)/(3),-(12)/(5)]`

D

`(-oo,-(8)/(3)] cup [-(12)/(5),oo)`

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The correct Answer is:

A, B, D

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