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The numberof values of $$\theta$$ in the interval $$\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$$ such that $$\theta \neq \frac{n \pi}{5}$$ for $$n = 0, \pm 1, \pm 2$$ and $$\tan \theta = \cot 5 \theta$$ as well as $$\sin 2 \theta = \cos 4 \theta$$ is
Correct Answer: 3
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