What is the parity arctan((x-1)/(x+1)) ?

The parity arctan((x-1)/(x+1)) is Neither even nor odd

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parity arctan((x-1)/(x+1))

parity

arctan (\frac{x - 1}{x + 1})

Neither even nor odd

Solution steps

f (- x) : arctan (\frac{- x - 1}{- x + 1})

- f (x) : - arctan (\frac{x - 1}{x + 1})

Check parity of

arctan (\frac{x - 1}{x + 1})

Check if Even:

False

Check if Odd:

False

Neither even nor odd

(0, 2), (4, 3)

f (x) = 2 x - x^{3}

cos (x)

f (x) = x

f (x) = \frac{1}{4} tan (4 x)

What is the parity arctan((x-1)/(x+1)) ?
The parity arctan((x-1)/(x+1)) is Neither even nor odd