Spherical Law of Sines
The Spherical Law of Sines is a formula used in spherical geometry, which deals with figures on the surface of a sphere. It relates the sides and angles of a spherical triangle, stating that the ratio of the length of a side to the sine of its opposite angle is constant for all three sides and angles. This law is particularly useful in navigation and astronomy.
In a spherical triangle, each angle is measured in degrees or radians, and the sides are measured as arcs of great circles. The Spherical Law of Sines can be expressed as: \fraca\sin A = \fracb\sin B = \fracc\sin C, where a, b, and c are the sides, and A, B, and C are the opposite angles of the triangle.