Have You Got Them All?

Geometry Level 4

(sin⁡θ+1)(tan⁡2θ−3)=0\large (\sin \theta + 1)(\tan^2 \theta - 3) = 0

How many values are there for θ∈[0,2π]\theta \in [0, 2\pi] such that the above is true?

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Sharky Kesa by Sharky Kesa
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