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Let theta ,phi in [0,2pi] be such that 2...

Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) cos phi -1, tan(2pi-theta) > 0 and -1 < sin theta < -sqrt3/2.` Then `phi` cannot satisfy

A

`0 lt phi (pi)/(2)`

B

`(pi)/(2) lt phi lt (4pi)/(3)`

C

`(4pi)/(3) lt phi lt (3pi)/(2)`

D

`(3pi)/(2) lt phi lt 2phi`

Text Solution

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The correct Answer is:
A, C, D
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