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...

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:...

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...