Search results
Tutorial on the law of sines and cosines and on how to decide which formula to use in triangle problems.
The laws of sines and cosines were first stated in this context, in a slightly different form than the laws for plane trigonometry. On a sphere, a great-circle lies in a plane passing through the sphere’s center.
Learn how to use the Law of Cosines to find the third side or the angles of a triangle when you know two sides and the angle between them. See examples, formulas, and tips to remember this trigonometry rule.
The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.
In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.
The law of sines is one of two trigonometric equations commonly applied to find lengths and angles in scalene triangles, with the other being the law of cosines. The law of sines can be generalized to higher dimensions on surfaces with constant curvature.
Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy....
