All possible values of \( \theta \in[0,2 \pi] \) for which \( \sin ...

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All possible values of \( \theta \in[0,2 \pi] \) for which \( \sin 2 \theta+\tan 2 \theta \) \( 0 \) lie in:
\( \mathrm{P} \)
[JEE Main-2021 (February)]
W
(a) \( \left(0, \frac{\pi}{2}\right) \cup\left(\pi, \frac{3 \pi}{2}\right) \)
\( \left(0, \frac{\pi}{4}\right) \cup\left(\frac{\pi}{2}, \frac{3 \pi}{4}\right) \cup\left(\pi, \frac{5 \pi}{4}\right) \cup\left(\frac{3 \pi}{2}, \frac{7 \pi}{4}\right) \) \( (c)\left(0, \frac{\pi}{2}\right) \cup\left(\frac{\pi}{2}, \frac{3 \pi}{4}\right) \cup\left(\pi, \frac{7 \pi}{6}\right) \)
\( (d)\left(0, \frac{\pi}{4}\right) \cup\left(\frac{\pi}{2}, \frac{3 \pi}{4}\right) \cup\left(\frac{3 \pi}{2}, \frac{11 \pi}{6}\right) \)
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