What is the parity arccos((cos(x))/(1+cos(x))) ?

The parity arccos((cos(x))/(1+cos(x))) is Even

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parity arccos((cos(x))/(1+cos(x)))

parity

arccos (\frac{cos ( x )}{1 + cos ( x )})

Even

Solution steps

f (x) : arccos (\frac{1}{1 + sec ( x )})

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

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

Check parity of

arccos (\frac{1}{1 + sec ( x )})

Check if Even:

True

Check if Odd:

False

Even

What is the parity arccos((cos(x))/(1+cos(x))) ?
The parity arccos((cos(x))/(1+cos(x))) is Even