arctan — Mathlib

English

arctan is defined as the inverse of tan on its principal branch, i.e., arctan x = tanOrderIso^{-1}(x).

Русский

arctan задаёт обратную к tan на главной ветви: arctan x = tanOrderIso^{-1}(x).

LaTeX

$$$ \operatorname{arctan}(x) = \tanOrderIso^{-1}(x) $$$

Lean4

/-- Inverse of the `tan` function, returns values in the range `-π / 2 < arctan x` and
`arctan x < π / 2` -/
@[pp_nodot]
noncomputable def arctan (x : ℝ) : ℝ :=
  tanOrderIso.symm x

Похожие утверждения