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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. Machin-like formula - Wikipedia

    en.wikipedia.org/wiki/Machin-like_formula

    If = then ⁡ is 45 degrees or radians. This means that if the real part and complex part are equal then the arctangent will equal π 4 {\textstyle {\frac {\pi }{4}}} . Since the arctangent of one has a very slow convergence rate if we find two complex numbers that when multiplied will result in the same real and imaginary part we will have a ...

  4. Minute and second of arc - Wikipedia

    en.wikipedia.org/wiki/Minute_and_second_of_arc

    A minute of arc, arcminute (arcmin), arc minute, or minute arc, denoted by the symbol ′, is a unit of angular measurement equal to ⁠ 1 / 60 ⁠ of one degree. [1] Since one degree is ⁠ 1 / 360 ⁠ of a turn, or complete rotation , one arcminute is ⁠ 1 / 21 600 ⁠ of a turn.

  5. List of common coordinate transformations - Wikipedia

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

    As φ has a range of 360° the same considerations as in polar (2 dimensional) coordinates apply whenever an arctangent of it is taken. θ has a range of 180°, running from 0° to 180°, and does not pose any problem when calculated from an arccosine, but beware for an arctangent.

  6. Arctangent series - Wikipedia

    en.wikipedia.org/wiki/Arctangent_series

    Mādhava's work was unknown in Europe, and the arctangent series was independently rediscovered by James Gregory in 1671 and by Gottfried Leibniz in 1673. [2] In recent literature the arctangent series is sometimes called the Mādhava–Gregory series to recognize Mādhava's priority (see also Mādhava series). [3]

  7. Angular diameter - Wikipedia

    en.wikipedia.org/wiki/Angular_diameter

    (The Sun's diameter is 400 times as large and its distance also; the Sun is 200,000 to 500,000 times as bright as the full Moon (figures vary), corresponding to an angular diameter ratio of 450 to 700, so a celestial body with a diameter of 2.5–4″ and the same brightness per unit solid angle would have the same brightness as the full Moon.)

  8. How major US stock indexes fared Thursday, 12/26/2024 - AOL

    www.aol.com/major-us-stock-indexes-fared...

    Stock indexes drifted to a mixed finish on Wall Street as some heavyweight technology and communications sector stocks offset gains elsewhere in the market. The S&P 500 slipped less than 0.1% ...

  9. Solid angle - Wikipedia

    en.wikipedia.org/wiki/Solid_angle

    Solid angles can also be measured in square degrees (1 sr = (180/ π) 2 square degrees), in square arc-minutes and square arc-seconds, or in fractions of the sphere (1 sr = ⁠ 1 / 4 π ⁠ fractional area), also known as spat (1 sp = 4 π sr). In spherical coordinates there is a formula for the differential,