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
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
which the net horizontal force is zero. Accordingly, using the small angle approximation, the horizontal tensions acting on both sides of the string segment...
13 KB (2,042 words) - 07:13, 21 December 2023
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:...
8 KB (1,283 words) - 23:11, 21 August 2024