The small-angle approximations can be used to approximate the values of the main trigonometric functions, provided that the angle in question is small and...
13 KB (1,679 words) - 23:07, 30 April 2024
In geometric optics, the paraxial approximation is a small-angle approximation used in Gaussian optics and ray tracing of light through an optical system...
3 KB (329 words) - 08:00, 2 June 2024
centre-of-mass θ {\displaystyle \theta } is the angle from the vertical Hence, under the small-angle approximation, sin θ ≈ θ {\displaystyle \sin \theta \approx...
43 KB (7,661 words) - 22:01, 21 August 2024
opposed to spurious digits Small-angle approximation – Simplification of the basic trigonometric functions Successive-approximation ADC – Type of analog-to-digital...
14 KB (1,562 words) - 04:40, 19 July 2024
displacement (and even so, it is only a good approximation when the angle of the swing is small; see small-angle approximation). Simple harmonic motion can also...
15 KB (2,214 words) - 03:49, 13 June 2024
c^{2}\approx a^{2}+b^{2}-2ab\cos C\,.} To prove this, we will use the small-angle approximation obtained from the Maclaurin series for the cosine and sine functions:...
12 KB (2,244 words) - 01:36, 14 February 2024
triangles can be greatly simplified by using the approximation that the sine of a small angle is equal to that angle in radians. The solution is particularly...
13 KB (1,286 words) - 12:01, 4 January 2024
separation purposes. The rule is based on the small-angle approximation (which states that, for small angles, sin θ ≈ θ, where θ is in radians), along with...
5 KB (782 words) - 00:23, 5 March 2023
Consider a planar pendulum with constant natural frequency ω in the small angle approximation. There are two forces acting on the pendulum bob: the restoring...
30 KB (4,014 words) - 07:11, 27 October 2023
Milliradian (redirect from Mil (angle))
Milliradians are generally used for very small angles, which allows for very accurate mathematical approximations to more easily calculate with direct proportions...
41 KB (5,022 words) - 10:21, 29 December 2023