Trigonometry, the branch of mathematics that deals with the relationships between the sides and angles of triangles, has extensive applications in various fields. While its origins are rooted in geometry, its formulas serve as powerful tools for solving real-world problems. Let’s explore some key areas where trigonometric formulas find practical use: 1. Architecture and Engineering Architects and engineers use trigonometry to design structures, ensuring their stability and balance. For instance, the sine, cosine, and tangent functions help calculate forces, angles, and dimensions in bridges, buildings, and tunnels. The Pythagorean theorem and angle-based formulas are critical in maintaining precision. 2. Astronomy and Space Science Trigonometry plays a crucial role in determining distances between celestial bodies and studying planetary movements. Using trigonometric functions, astronomers calculate the positions of stars and planets relative to Earth. 3. Navigation and GPS Technology ...