law of sines

law of sines
Trigonom.
1. a law stating that the ratio of a side of a plane triangle to the sine of the opposite angle is the same for all three sides.
2. a law stating that the ratio of the sine of an arc of a spherical triangle to the sine of the opposite angle is the same for all three arcs.

* * *

Principle of trigonometry stating that the lengths of the sides of any triangle are proportional to the sines of the opposite angles.

That is,
when a, b, and c are the sides and A, B, and C are the opposite angles.

* * *


Universalium. 2010.

Игры ⚽ Нужно сделать НИР?

Look at other dictionaries:

  • Law of sines — The law of sines (sines law, sine formula, sine rule), in trigonometry, is a statement about any triangle in a plane. Where the sides of the triangle are a , b and c and the angles opposite those sides are A , B and C , then the law of sines… …   Wikipedia

  • law of sines — 1. : a law in trigonometry: the ratio of each side of a plane triangle to the sine of the opposite angle is the same for all three sides and angles 2. : a law in trigonometry: the ratio of the sine of each arc of a spherical triangle to the sine… …   Useful english dictionary

  • law of sines — Descartes l …   Medical dictionary

  • Law — /law/, n. 1. Andrew Bonar /bon euhr/, 1858 1923, English statesman, born in Canada: prime minister 1922 23. 2. John, 1671 1729, Scottish financier. 3. William, 1686 1761, English clergyman and devotional writer. * * * I Discipline and profession… …   Universalium

  • Law of tangents — In trigonometry, the law of tangents is a statement about the relationship between the lengths of the three sides of a triangle and the tangents of the angles.In Figure 1, a , b , and c are the lengths of the three sides of the triangle, and α,… …   Wikipedia

  • Law of cosines — This article is about the law of cosines in Euclidean geometry. For the cosine law of optics, see Lambert s cosine law. Figure 1 – A triangle. The angles α, β, and γ are respectively opposite the sides a, b, and c …   Wikipedia

  • law — law1 lawlike, adj. /law/, n. 1. the principles and regulations established in a community by some authority and applicable to its people, whether in the form of legislation or of custom and policies recognized and enforced by judicial decision. 2 …   Universalium

  • law of cosines — 1. : a law in trigonometry: the square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them 2. : a law in trigonometry: the cosine of an …   Useful english dictionary

  • law of cosines — Trigonom. 1. a law stating that the square of a side of a plane triangle is equal to the sum of the squares of the other two sides minus twice the product of the other sides multiplied by the cosine of the angle between them. 2. a law stating… …   Universalium

  • Snell's law — In optics and physics, Snell s law (also known as Descartes law, the Snell–Descartes law, and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”