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If cos3theta + sin3theta+(2sin2theta-3)(...

If `cos3theta + sin3theta+(2sin2theta-3)(sintheta-costheta) lt 0`, then subset of value of `theta` is

A

`(2npi - (3pi)/(4), 2npi+ pi/4), in Z`

B

`(2npi - (pi)/(2), 2npi + pi/6) , n in Z`

C

`(2n - (pi)/(3), 2npi+pi/3), n in Z`

D

`(2npi - pi/4, 2npi+(3pi)/(4)), n in Z`

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The correct Answer is:
A
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