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What does arctanx mean?
Arctan means arc tangent. For example, tan45 degrees = 1, then arctan 1=45 degrees, which is the "inverse" operation, just like the "inverse" operation of multiplication is division.

It is not the arc tangent of a special function value, and it needs to be solved by a calculator.

Similarly, the arcsine is an arcsine, and sin30 = 1/2, then the arcsine 1/2=30. In addition, there are arccos and arccot.

Brief introduction of arctangent algorithm in mathematics;

Count. It represents the only fixed angle on (-π/2, π/2) whose tangent value is equal to x, that is, tan(arctan x)=x, and the domain of the arctangent function is r, that is, (-∞, +∞). The arctangent function is an inverse trigonometric function.

Arctanx domain: R.

Arctanx value range: (-π/2, π/2).

Arctangent parity: odd function.

Arctanx periodicity: not a periodic function.

Arctangent monotonicity: (-∞,-∞) monotonically increases.