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Trigonometry provides analysis based on a right triangle inscribed in a unit circle, i.e. one with a radius of 1. The points (0,0) (x,0) and (x,y) define the triangle, with (0,0)-(x,0)-(x,y) being the right angle, and (x,y)-(0,0)-(x,0) containing the angle theta.

In this configuration, x is defined as cosine(theta), y is defined as sine(theta), while the other trigonometric functions are the various ratios, reciprocals of ratios, and inverse functions and ratios of sine and cosine. For instance, tangent is sine over cosine, secant is 1 over sine, etc.

Since this is a right triangle, the Pythagorean Theorem also applies. X2 + Y2 = 12. Since X and Y correspond to cosine and sine, then the primary trigonometric identity is sine2(theta) + cosine2(theta) = 1.

en Espanol (translate.Google.com)

Trigonometría ofrece un análisis sobre la base de un triángulo inscrito en un círculo de unidad, es decir, con un radio de 1. Los puntos (0,0) (x, 0) y (x, y) definir el triángulo, con (0,0) - (x, 0) - (x, y) es el ángulo derecho, y (x, y ) - (0,0) - (x, 0) que contiene el ángulo theta.

En esta configuración, se define como x coseno (theta), y se define como seno (theta), mientras que las otras funciones trigonométricas son las proporciones diversas, inversos de los coeficientes y funciones inversas y coeficientes del seno y del coseno. Por ejemplo, la tangente es seno sobre coseno, secante es de 1 sobre seno, etc

Como se trata de un triángulo rectángulo, el Teorema de Pitágoras también se aplica. X2 + y2 = 12. Puesto que X e Y corresponden a coseno y seno, entonces la identidad trigonométrica principal es sine2 (theta) + cosine2 (theta) = 1

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Q: Relationship between trigonometry and the Pythagorean theorem?
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