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The number of values of theta in the int...

The number of values of `theta` in the interval `(-(pi)/(2), (pi)/(2))` such that `theta ne (n pi)/(5) " for n" = 0, +-1, +-2 " and tan" theta = "cot"5theta " as well as sin" 2 theta = "cos" 4theta`, is

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