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...

In geometric optics, the paraxial approximation is a small-angle approximation used in Gaussian optics and ray tracing of light through an optical system...

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...

opposed to spurious digits Small-angle approximation – Simplification of the basic trigonometric functions Successive-approximation ADC – Type of analog-to-digital...

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...

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...

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...

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...

which the net horizontal force is zero. Accordingly, using the small angle approximation, the horizontal tensions acting on both sides of the string segment...

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:...