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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) `k in [-3/2,1]` (B) ` k in [0,1/2]` (C) `k in [-3/2,1/2]` (D) `k in [1/2,1]`

A

`k int [-3/2,1]`

B

`k int [0,1/2]`

C

`k int [-3/2, 1/2]`

D

`k int [1/2,1]`

Text Solution

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The correct Answer is:
C
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