arctan range and domain: ℝ → (−π/2, π/2)
arctan accepts every real number and returns an angle in (−π/2, π/2). The interval is open, not closed: tangent has asymptotes at ±π/2, so those endpoints are approached but never reached.
Related Inverse identities
Common questions
What is the arctan range identity?
arctan accepts every real number and returns an angle in (−π/2, π/2). The interval is open, not closed: tangent has asymptotes at ±π/2, so those endpoints are approached but never reached.
Which identities are related to arctan range?
arctan range belongs to the Inverse group. The identities used alongside it most often are arcsin range and arccos range.
Practise it
Reading a formula is not the same as recalling it under time pressure. The workspace drills Inverse questions in the quiz, and the triangle solver shows a worked solution for any triangle you type in.
Or browse all 45 identities in the full reference, or read the trigonometry guides for the method behind them.