6. Trigonometría Tri C1S03.a Razones trigonometricas ángulo alfa (lenguaje algebraico) Dado el triángulo «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«/math» sabiendo que es rectángulo en «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«/math» , el cateto opuesto al ángulo es «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»x«/mi»«/math» , el cateto adyacente es «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«/math» , la hipotenusa es «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»z«/mi»«/math».Hallar las razones trigonométricas del ángulo «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«/math».

#graf

Observación :

Ingrese el resultado con WIRIS .

Simplifica hasta dejar una fracción irreductible.

Si ingresas un decimal escríbelo con punto y con tres decimales.

(Ejemplo 2,5678 ingresa 2.568 , si es 0,5 ingresa 0.5 , si el valor es 2,3333 ingresa 2.333 )

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UAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//Z En el triángulo rectángulo ABC las funciones trigonométricas son :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»s«/mi»«mi»e«/mi»«mi»n«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»§#32;«/mo»«mo»=«/mo»«mfrac»«mrow»«mi»c«/mi»«mi»a«/mi»«mi»t«/mi»«mi»e«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»l«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«/mrow»«mrow»«mi»h«/mi»«mi»i«/mi»«mi»p«/mi»«mi»o«/mi»«mi»t«/mi»«mi»e«/mi»«mi»n«/mi»«mi»u«/mi»«mi»s«/mi»«mi»a«/mi»«/mrow»«/mfrac»«/math»

Reemplazando los valores en la fórmula se obtiene:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»s«/mi»«mi»e«/mi»«mi»n«/mi»«mi»o«/mi»«mo» «/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo» «/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo» «/mo»«mo»=«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mn»1«/mn»«mo»=«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mn»11«/mn»«/math»

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»cos«/mi»«mi»e«/mi»«mi»n«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»§#32;«/mo»«mo»=«/mo»«mfrac»«mrow»«mi»c«/mi»«mi»a«/mi»«mi»t«/mi»«mi»e«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mo»§#32;«/mo»«mi»a«/mi»«mi»d«/mi»«mi»y«/mi»«mi»a«/mi»«mi»c«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#32;«/mo»«mi»a«/mi»«mi»l«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«/mrow»«mrow»«mi»h«/mi»«mi»i«/mi»«mi»p«/mi»«mi»o«/mi»«mi»t«/mi»«mi»e«/mi»«mi»n«/mi»«mi»u«/mi»«mi»s«/mi»«mi»a«/mi»«/mrow»«/mfrac»«/math»

Reemplazando los valores en la fórmula se obtiene :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»cos«/mi»«mi»e«/mi»«mi»n«/mi»«mi»o«/mi»«mo» «/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo» «/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo» «/mo»«mo»=«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mn»2«/mn»«mo»=«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mn»12«/mn»«/math»

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mi»g«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»§#32;«/mo»«mo»=«/mo»«mfrac»«mrow»«mi»c«/mi»«mi»a«/mi»«mi»t«/mi»«mi»e«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»§#32;«/mo»«/mrow»«mrow»«mi»c«/mi»«mi»a«/mi»«mi»t«/mi»«mi»e«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»a«/mi»«mi»d«/mi»«mi»y«/mi»«mi»a«/mi»«mi»c«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#32;«/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo»§#32;«/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«/mrow»«/mfrac»«/math»

Reemplazando en la fórmula se obtiene .

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mi»g«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo» «/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo» «/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo» «/mo»«mo»=«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»x«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»y«/mi»«/mrow»«/mfrac»«/math»

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mi»g«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo» «/mo»«mi»§#225;«/mi»«mi»n«/mi»«mi»g«/mi»«mi»u«/mi»«mi»l«/mi»«mi»o«/mi»«mo» «/mo»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo» «/mo»«mo»=«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mn»3«/mn»«mo»=«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mn»13«/mn»«/math»

Reporta y/o califica esta pregunta:

1. Copia este código: Tri. C1. S03. a.

2. Presiona este enlace, pega el código y completa el formulario

]]> 1 .3333333 0 0 seno del ángulo ABC =#sol1coseno del ángulo ABC=#sol2tangente del ánguloABC=#sol3]]> Muy Bien

]]> *]]> Revisemos el procedimiento para mejoresn resultados ,si aún tienes dudas consulta a tu profesor.

]]> - Santiago Sur 24/6

En la observación:

Indicar el número de decimales, y si se aproxima o no. Corregido

En la retroalimentación:

Escribir la fracción irreductible y colocar también el resultado en decimal.Corregido.

Observaciones; N:G:R:

- Corregido: Algunas faltas de ortografía.

- Pendiente : Se pueden fusionar los ejercicios 6.1.1.a y 6.1.1. b en una sola pregunta dejar variables α y β

- Pendiente : Según acuerdo, en capacitación se indicó que no es conveniente pegar imágenes.

- Pendiente : Se sugiere normalizar el número de decimales, no es bueno que el enunciado contenga cuatro decimales y en la respuesta se pidan solo dos.Corregido

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mrow style="color:#ffc800"/><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>x</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>4</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>z</mi><mo>=</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup></mrow></msqrt></mtd></mtr><mtr><mtd><mi>delta</mi><mo>=</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup></mrow></msqrt></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mi>z</mi><mo>></mo><mn>0</mn><mo>∧</mo><mo>(</mo><mi>delta</mi><mo>)</mo><mo>≠</mo><mi>falso</mi><mo> </mo><mo>∧</mo><mi>es</mi><mo>(</mo><mi>delta</mi><mo> </mo><mo>,</mo><naturalnumbers/><mo>)</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>tablero</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mi>triángulo</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>7</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>graf</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>T</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mostrar_malla</mi><mo>(</mo><mi>falso</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mostrar_ejes</mi><mo>(</mo><mi>falso</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mi>punto</mi><mo>(</mo><mo> </mo><mn>7</mn><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mo>(</mo><mi>B</mi><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>negro</mi><mo>,</mo><mi>tamaño_punto</mi><mo>=</mo><mn>7</mn><mo>,</mo><mi>mostra_etiqueta</mi><mo>=</mo><mi>cierto</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mn>90</mn><mo>°</mo><mo> </mo><mo>"</mo><mo>,</mo><mo> </mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>.</mo><mn>6</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>4</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>:</mo><mo>=</mo><mi>segmento</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>7</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>:</mo><mo>=</mo><mi>segmento</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mi>cateto</mi><mo> </mo><mi>adyacente</mi><mo> </mo><mo>"</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>:</mo><mo>=</mo><mi>segmento</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>7</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mi>cateto</mi><mo>"</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>9</mn><mo>.</mo><mn>9</mn><mo>,</mo><mn>3</mn><mo>.</mo><mn>6</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mo> </mo><mi>opuesto</mi><mo> </mo><mo>"</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo> </mo><mo> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mo> </mo><mo> </mo><mi>hipotenusa</mi><mo> </mo><mo> </mo><mo>"</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mi>A</mi><mo>"</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mi>B</mi><mo>"</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mi>C</mi><mo>"</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>.</mo><mn>3</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>2</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mo>(</mo><mo>"</mo><mi>α</mi><mo>"</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>4</mn><mo>.</mo><mn>8</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>3</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mi>x</mi><mi>z</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mi>y</mi><mi>z</mi></mfrac><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mi>x</mi><mi>y</mi></mfrac><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo></math></input></command><command><input><math 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