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a branch of mathematics that deals with the relationships between the angles and sides of triangles
- In trigonometry, the sine function (sin) relates the ratio of the length of the opposite side to the hypotenuse in a right-angled triangle.
- The cosine function (cos) in trigonometry expresses the ratio of the adjacent side to the hypotenuse.
- The Pythagorean identity, a fundamental relation in trigonometry, states that sin²θ + cos²θ = 1.
- In navigation, trigonometry is crucial for calculating distances and angles, especially in celestial navigation using stars and planets.
- Trigonometry plays a key role in fields such as physics, engineering, and computer science, where understanding angles and periodic functions is essential.