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TRIGONOMETRIC RATIOS
Trigonometric radios are a fundamental tool in trigonometry and geometry. Next, I present an overview of trigonometric radios:
Definition
A trigonometric radius is a line that joins the center of a circle with a point in the circumference. In trigonometry, trigonometric radios are used to define trigonometric functions.
Trigonometric functions
Trigonometric functions are defined in terms of trigonometric radios. For example:
- Sine (SIN): Relationship between the length of the opposite side to the angle and the radius length.
- Coseno (cos): relationship between the length of the side adjacent to the angle and the length of the radius.
- Tangent (tan): relationship between the length of the opposite side to the angle and the length of the adjacent side.
Trigonometric identities
Trigonometric identities are equations that relate trigonometric functions with each other. Some of the most common trigonometric identities are:
- Sin² (x) + cos² (x) = 1
- Tan (x) = without (x) / cos (x)
- cot (x) = cos (x) / without (x)
Applications
Trigonometric radios and trigonometric functions have numerous applications in:
- Geometry: Calculation of lengths and angles in triangles and circles.
- Physics: Calculation of forces and movements in mechanical problems.
- Engineering: calculation of tensions and deformations in structures and materials.
- Navigation: calculation of positions and directions in air and maritime navigation.
Conclusion
Trigonometric radios are a fundamental tool in trigonometry and geometry. Trigonometric functions and trigonometric identities are used to solve problems in various areas of science and engineering.
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