Problem

Problem

The number of 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.....

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