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Relationship between trigonometry and the Pythagorean theorem?
Wiki User
∙ 14y ago
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
Wiki User
∙ 14y ago
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What is the relationship between the slope and the pythagorean theorem?
There is no relationship between slope and the theorem, however the theorem does deal with the relationship between angles and sides of a triangle.
Who is father of trigonometry?
Trigonometry has been developed over centuries, and was not discovered per-se by any one person. One might say that Pythagoras is the father of trigonometry because the Pythagorean theorem is so central to trigonometric theory, but many cultures were aware of the Pythagorean theorem before Pythagoras was even born.
What type of triangle is the pythagorean theorem?
The Pythagorean Theorem is not a triangle. It's a statement that describes a relationship among the lengths of the sides in any right triangle.
It is better to use the Pythagorean Theorem when you are trying to find the hypotenuse of a right triangle given the other side lengths?
yes. you can use trigonometry but phytagoreans theorem is faster and easier
When the angle between two displacement vectors is 90 degrees you can use the what theorem?
pythagorean theorem
What is the relationship between the slope and the pythagorean theorem?
There is no relationship between slope and the theorem, however the theorem does deal with the relationship between angles and sides of a triangle.
How do you figure out the Trigonometry theorem?
If, by trigonometry theorem you mean the "fundamental theorem of trigonometry," sin2(x) + cos2(x) = 1, it is actually the Pythagorean Theorem. if you have a right triangle with a hypotenuse of one, sin(x) is one leg, and cos(x) is the other. The Pythagorean Theorem states that a2 + b2 = c2 and therefore sin2(x) + cos2(x) = 1.
What are three situations in which right triangles are used?
Pythagoras' theorem Trigonometry Pythagorean triples
Who is father of trigonometry?
Trigonometry has been developed over centuries, and was not discovered per-se by any one person. One might say that Pythagoras is the father of trigonometry because the Pythagorean theorem is so central to trigonometric theory, but many cultures were aware of the Pythagorean theorem before Pythagoras was even born.
What did Pythagoras contribute to trigonometry?
One major contribution was that of the Pythagorean Theorem. a^2 + b^2 = c^2
What type of triangle is the pythagorean theorem?
The Pythagorean Theorem is not a triangle. It's a statement that describes a relationship among the lengths of the sides in any right triangle.
It is better to use the Pythagorean Theorem when you are trying to find the hypotenuse of a right triangle given the other side lengths?
yes. you can use trigonometry but phytagoreans theorem is faster and easier
What is the difference in the distance formula and the Pythagorean theorem?
The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle.
How do you find out the slant height of a cone without using the Pythagorean theorem as it involves a lot of time that we may not get in cat xam?
Use trigonometry
When the angle between two displacement vectors is 90 degrees you can use the what theorem?
pythagorean theorem
Was the Pythagorean Theorem proven?
Oh yes, the Pythagorean Theorem has been proven.
What shape does the Pythagorean theorem use?
The Pythagorean theorem uses the right triangle.
