spherical law of sines

The spherical law of sines is a formula used in spherical geometry to relate the angles and sides of a triangle drawn on a sphere, like Earth's surface. It states that the ratio of the sine of a triangle's angle to the sine of the opposite side (measured as an arc) is the same for all three corners. Essentially, it helps solve for unknown distances or angles in spherical triangles, which are common in navigation and astronomy, by connecting angles and sides in a predictable way on curved surfaces.