e^(|sin x|)+ e^(-|sin x|) + 4 a = 0 wil...

`e^(|sin x|)+ e^(-|sin x|) + 4 a = 0 ` will have exactly four different solutions in `[0, 2 pi]` is

A

`a in R`

B

`a in [-(e)/(4),-(1)/(4)]`

C

`a in [- (1 - e^(2))/(4 e), infty]`

D

none of these

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The correct Answer is:

D

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