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The values of k for which the equation s...

The values of k for which the equation `sin^4 x+cos^4 x+sin2x+k=0` possess solution

A

`(-1,1)`

B

`[-(5)/(2), (3)/(2)]`

C

`[-(1)/(2),1]`

D

`[-(3)/(2), (1)/(2)]`

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The correct Answer is:
D
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