Trigonometry

Equations for:

Further discussion of these equations can be found in [1], [2] and [3]. (The sources also contain other relevant equations.)

Consider the following figure:

Sine and Cosine Relations

Given a triangle T with angles a, b and c, with opposite sides of length A, B and C respectively, we have the following relations:

Note: If a vertex of a triangle is at infinity (lies on the boundary) the the angle of that vertex is zero.

Given a triangle T with angles a, b and c, the area is given by

It follows that

Given a polygon with interior angles a1, . . ., aN, the area is given by:

Given a circle of radius r the circumference C and area A are given by

Up: Hyperbolic Geometry
Created: Jul 15 1996 --- Last modified: Jul 15 1996