Spherical Trigonometry

Spherical trigonometry is the branch of mathematics that studies the relationships between angles and distances on the surface of a sphere, like Earth. Unlike flat triangles, spherical triangles are formed by the intersections of three great circles, such as lines of latitude and longitude. It helps in accurately calculating distances and directions between points on a curved surface, which is essential for navigation, cartography, and astronomy. This field uses specialized formulas to understand how angles and sides relate when dealing with the curved surface of a sphere, enabling us to solve real-world problems involving global positioning and celestial observations.