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 &lt

Question

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 lt (pi)/2 `
B. `(pi)/2 ltphi lt (4pi)/3`
C. `(4pi)/3 lt phi lt (3pi)/2 `
D. `(3pi)/2 lt phi lt 2pi `

Answer 1

Correct Answer - A::C::D