arctangent

(noun)

Any of several single-valued or multivalued functions that are inverses of the tangent function.

Related Terms

  • limit

Examples of arctangent in the following topics:

  • Inverse Trigonometric Functions

    • The inverse of sine is arcsine (denoted $\arcsin$), the inverse of cosine is arccosine (denoted $\arccos$), and the inverse of tangent is arctangent (denoted $\arctan$).
    • The arctangent function is a reflection of the tangent function about the line $y = x$.
  • Complex numbers and constant coefficient differential equations

    • From Pythagoras' theorem we can see r2 = x2 + y2 and the angle ✓ is just the arctangent of y/x.1.1.4 Forced motion
  • Forced motion with damping

    • Figure 1.7: The arctangent function asymptotes at $\pm \pi/2$ , so we should expect to see a phase shift of $\pi$ when going through a resonance.
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