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  2. atan2 - Wikipedia

    en.wikipedia.org/wiki/Atan2

    atan2(y, x) returns the angle θ between the positive x-axis and the ray from the origin to the point (x, y), confined to (−π, π].Graph of ⁡ (,) over /. In computing and mathematics, the function atan2 is the 2-argument arctangent.

  3. List of common coordinate transformations - Wikipedia

    en.wikipedia.org/wiki/List_of_common_coordinate...

    This means that the inverse function will only give values in the domain of the function, but restricted to a single period. Hence, the range of the inverse function is only half a full circle. Note that one can also use r = x 2 + y 2 θ ′ = 2 arctan ⁡ y x + r {\displaystyle {\begin{aligned}r&={\sqrt {x^{2}+y^{2}}}\\\theta '&=2\arctan ...

  4. Inverse trigonometric functions - Wikipedia

    en.wikipedia.org/.../Inverse_trigonometric_functions

    The most common convention is to name inverse trigonometric functions using an arc- prefix: arcsin(x), arccos(x), arctan(x), etc. [1] (This convention is used throughout this article.) This notation arises from the following geometric relationships: [ citation needed ] when measuring in radians, an angle of θ radians will correspond to an arc ...

  5. Conversion between quaternions and Euler angles - Wikipedia

    en.wikipedia.org/wiki/Conversion_between...

    Note that the arctan functions implemented in computer languages only produce results between −π/2 and π/2, which is why atan2 is used to generate all the correct orientations. Moreover, typical implementations of arctan also might have some numerical disadvantages near zero and one. Some implementations use the equivalent expression: [3]

  6. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    Several different conventions exist for representing spherical coordinates and prescribing the naming order of their symbols. The 3-tuple number set ( r , θ , φ ) {\displaystyle (r,\theta ,\varphi )} denotes radial distance, the polar angle—"inclination", or as the alternative, "elevation"—and the azimuthal angle.

  7. List of mathematical abbreviations - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical...

    arcsec – inverse secant function. arcsin – inverse sine function. arctaninverse tangent function. arctan2 – inverse tangent function with two arguments. (Also written as atan2.) arg – argument of. [2] arg max – argument of the maximum. arg min – argument of the minimum. arsech – inverse hyperbolic secant function.

  8. Could Retirees See Social Security Benefits Cut Under Trump?

    www.aol.com/could-retirees-see-social-security...

    Social Security is the U.S. government's biggest program; as of June 30, 2024, about 67.9 million people, or one in five Americans, collected Social Security benefits. This year, we're seeing a...

  9. cis (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Cis_(mathematics)

    cis is a mathematical notation defined by cis x = cos x + i sin x, [nb 1] where cos is the cosine function, i is the imaginary unit and sin is the sine function. x is the argument of the complex number (angle between line to point and x-axis in polar form).

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