The domain of arctanx is: r (all real numbers).

arctanx

1, domain: r.

2. Value range: (-π/2, π/2).

3. Parity: odd function.

4. Periodicity: not a periodic function.

5. Monotonicity: (-∞, -∞) monotonically increases.

Extended data:

Angle representation of arctangent function;

Arctangent function is a mathematical term, one of the inverse trigonometric functions, which refers to the inverse function of function y=tanx. Calculation method: Let two acute angles be a and b respectively, and give the following expression:

If tanA= 1.9/5, then a = arctan1.9/5; If tanB=5/ 1.9, then B=arctan5/ 1.9.

In order to make the interval determined by the single-valued inverse trigonometric function representative, the following conditions are often observed:

1, in order to ensure that the function corresponds to the single value of the independent variable, the determined interval must be monotonous;

2. It is best for the function to be continuous in this interval (it is best here because the arc tangent and anti-cotangent functions are leading edges).