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What is trigonometric ratios? »Its definition and meaning

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The term Trigonometric Ratios refers to the links that can be established between the sides of a triangle that has an angle of 90º. There are three major trigonometric ratios: tangent, sine, and cosine. In physics, astronomy, cartography, nautical, telecommunications, trigonometric ratios are of great importance, as well as in the representation of periodic phenomena and many other applications.

Trigonometry is the name of the branch of mathematics that is dedicated to performing calculations linked to the elements of a triangle. For this, it works with units such as the sexagesimal degree (which is used when dividing a circumference in 360 sexagesimal degrees), the centesimal degree (the division is made in 400 grads degrees) and the radian (which is taken as the natural unit of the angles), and indicates that the circumference is divisible into 2 pi radians).

Trigonometric ratios sine, cosine, tangent, cosecant, secant, and cotangent are generally defined in a right triangle, but this definition is short, as it is necessary to find such ratios for angles that cannot be represented in a right triangle, such as the case with any angle equal to or greater than 90 degrees. That is why it is necessary to redefine these motifs using the Cartesian system that helps us represent any angle between 0 and 360 degrees.

The tangent trigonometric relationship is the relationship between the opposite leg and the adjacent leg. The sine, on the other hand, is the relationship between the opposite leg and the hypotenuse, while the cosine is the relationship between the adjacent leg and the hypotenuse.

To understand these trigonometric ratios, of course, you must know what the legs and the hypotenuse are. The adjacent leg is the one that goes through the ninety- degree angle, while the other is exactly the opposite of the angle. Both, therefore, make up the 90º angle. The hypotenuse, on the other hand, is the main side of the triangle.

In addition to the tangent, the sine and the cosine, we can recognize other trigonometric relations that are less used, such as the cotangent (the relation between the adjacent leg and the opposite leg), the cosecant (the relation between the hypotenuse and the opposite leg).) and secant (the relationship between the hypotenuse and the adjacent leg).