Let θ,ϕ∈[0,2π] be such that 2cosθ(1−sinϕ)=sin2θ(tanθ2+cotθ – InterviewSolution

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1.	Let θ,ϕ∈[0,2π] be such that 2cosθ(1−sinϕ)=sin2θ(tanθ2+cotθ2)cosθ−1,tan(2π−θ)>0 and -1 < sinθ<−√32. Then ϕ cannot satisfy
Answer» Let $θ, ϕ \in [0, 2 π]$ be such that $2 c o s θ (1 - s i n ϕ) = s i n^{2} θ (t a n \frac{θ}{2} + c o t \frac{θ}{2}) c o s θ - 1, t a n (2 π - θ) > 0$ and -1 < $s i n θ < - \frac{\sqrt{3}}{2}$ . Then $ϕ$ cannot satisfy

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