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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. Angular diameter - Wikipedia

    en.wikipedia.org/wiki/Angular_diameter

    2.5° by 2.5° Westerhout 5: 2.3° by 1.25° Sh2-54: 2.3° Carina Nebula: 2° by 2° Note: brightest nebula in the night sky, 1.0 apparent magnitude (V) North America Nebula: 2° by 100 ′ Earth in the Moon's sky: 2° - 1°48 ′ [12] Appearing about three to four times larger than the Moon in Earth's sky The Sun in the sky of Mercury: 1.15 ...

  4. Minute and second of arc - Wikipedia

    en.wikipedia.org/wiki/Minute_and_second_of_arc

    A second of arc, arcsecond (abbreviated as arcsec), or arc second, denoted by the symbol ″, [2] is a unit of angular measurement equal to ⁠ 1 / 60 ⁠ of a minute of arc, ⁠ 1 / 3600 ⁠ of a degree, [1] ⁠ 1 / 1 296 000 ⁠ of a turn, and ⁠ π / 648 000 ⁠ (about ⁠ 1 / 206 264.8 ⁠) of a radian.

  5. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    This geometric argument relies on definitions of arc length and area, which act as assumptions, so it is rather a condition imposed in construction of trigonometric functions than a provable property. [2] For the sine function, we can handle other values. If θ > π /2, then θ > 1. But sin θ ≤ 1 (because of the Pythagorean identity), so sin ...

  6. Nose cone design - Wikipedia

    en.wikipedia.org/wiki/Nose_cone_design

    The power series nose shape is generated by rotating the y = R(x/L) n curve about the x-axis for values of n less than 1. The factor n controls the bluntness of the shape. For values of n above about 0.7, the tip is fairly sharp. As n decreases towards zero, the power series nose shape becomes increasingly blunt.

  7. Angle of view (photography) - Wikipedia

    en.wikipedia.org/wiki/Angle_of_view_(photography)

    So a standard 50 mm lens for 35 mm photography acts like a 50 mm standard "film" lens even on a professional digital SLR, but would act closer to a 75 mm (1.5×50 mm Nikon) or 80 mm lens (1.6×50mm Canon) on many mid-market DSLRs, and the 40-degree angle of view of a standard 50 mm lens on a film camera is equivalent to a 28–35 mm lens on ...

  8. Help:Displaying a formula - Wikipedia

    en.wikipedia.org/wiki/Help:Displaying_a_formula

    The sum = converges to 2. It was entered as <math display= "block" > \sum_{i=0}^\infty 2^{-i} </math> Technically, the command \displaystyle will be added to the user input (if the user input does not already contain the string \displaystyle or \align) before the TeX command is passed to the renderer. The result will be displayed in a new ...

  9. Complex number - Wikipedia

    en.wikipedia.org/wiki/Complex_number

    Because the real and imaginary part of 5 + 5i are equal, the argument of that number is 45 degrees, or π/4 (in radian). On the other hand, it is also the sum of the angles at the origin of the red and blue triangles are arctan(1/3) and arctan(1/2), respectively.