La función s e n ∝ = sen\ \propto= s e n ∝ =

= c a t e t o o p u e s t o h i p o t e n u s a =\frac{cateto\ opuesto}{hipotenusa} = h i p o t e n u s a c a t e t o o p u e s t o

= c a t e t o c o n t i g u o h i p o t e n u s a =\frac{cateto\ \ contiguo\ }{hipotenusa\ } = h i p o t e n u s a c a t e t o c o n t i g u o

= c a t e t o o p u e s t o c a t e t o c o n t i g u o =\frac{cateto\ opuesto}{cateto\ contiguo} = c a t e t o c o n t i g u o c a t e t o o p u e s t o

Los valores de las funciones trigonométricas de π 3 \frac{\pi}{3} 3 π son:

s e n π 3 = 3 2 sen\ \frac{\pi}{3}=\frac{\sqrt{3}}{2} s e n 3 π = 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cos ⁡ π 3 = 1 2 \cos\ \frac{\pi}{3}=\frac{1}{2} cos 3 π = 2 1 tan ⁡ π 3 = 3 \tan\ \frac{\pi}{3}=\sqrt{3} tan 3 π = 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

s e n π 3 = 2 2 sen\ \frac{\pi}{3}=\frac{\sqrt{2}}{2} s e n 3 π = 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cos ⁡ π 3 = 2 2 \cos\ \frac{\pi}{3}=\frac{\sqrt{2}}{2} cos 3 π = 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> tan ⁡ π 3 = 1 \tan\ \frac{\pi}{3}=1 tan 3 π = 1

s e n π 3 = 1 2 sen\ \frac{\pi}{3}=\frac{1}{2} s e n 3 π = 2 1 cos ⁡ π 3 = 3 2 \cos\ \frac{\pi}{3}=\frac{\sqrt{3}}{2} cos 3 π = 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> tan ⁡ π 3 = 0 \tan\ \frac{\pi}{3}=0 tan 3 π = 0

FUNCIONES TRIGONOMÉTRICAS

Authored by SONIA SIVISAPA

Mathematics

12th Grade

Used 548+ times

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MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Se llama triángulo rectángulo a todo triángulo que posee un ángulo recto, es decir un ángulo de 45°.

VERDADERO

FALSO

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Los elementos de un triángulo rectángulo son:

Catetos, hipotenusa, ángulo recto, ángulos agudos.

Catetos, hipotenusa, ángulo llano, ángulos agudos.

Catetos, hipotenusa, ángulo obtuso, ángulos agudos.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

El teorema de Pitágoras es un teorema que nos permite relacionar los tres lados de un triángulo obtusángulo.

VERDADERO

FALSO

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

El teorema de Pitágoras expresa: "En todo triángulo rectángulo, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los catetos"

VERDADERO

FALSO

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Las funciones trigonométricas se llaman también:

Razones trigonométricas,

Operaciones trigonométricas

Igualdades trigonométricas

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Las funciones trigonométricas son las relaciones entre los catetos y la hipotenusa en un triángulo rectángulo.

VERDADERO

FALSO

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

La función
$sen\ \propto=$

$=\frac{cateto\ opuesto}{hipotenusa}$

$=\frac{cateto\ \ contiguo\ }{hipotenusa\ }$

$=\frac{cateto\ opuesto}{cateto\ contiguo}$

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

La función cosecante es la razón entre:

$=\frac{cateto\ contiguo\ }{cateto\ opuesto}$

$=\frac{hipotenusa}{cateto\ contiguo}$

$=\frac{hipotenusa}{cateto\ opuesto}$

10.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Los valores de las funciones trigonométricas de
$\frac{\pi}{3}$ son:

$sen\ \frac{\pi}{3}=\frac{\sqrt{3}}{2}$ $\cos\ \frac{\pi}{3}=\frac{1}{2}$ $\tan\ \frac{\pi}{3}=\sqrt{3}$

$sen\ \frac{\pi}{3}=\frac{\sqrt{2}}{2}$ $\cos\ \frac{\pi}{3}=\frac{\sqrt{2}}{2}$ $\tan\ \frac{\pi}{3}=1$

$sen\ \frac{\pi}{3}=\frac{1}{2}$ $\cos\ \frac{\pi}{3}=\frac{\sqrt{3}}{2}$ $\tan\ \frac{\pi}{3}=0$

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FUNCIONES TRIGONOMÉTRICAS

Se llama triángulo rectángulo a todo triángulo que posee un ángulo recto, es decir un ángulo de 45°.

Los elementos de un triángulo rectángulo son:

El teorema de Pitágoras es un teorema que nos permite relacionar los tres lados de un triángulo obtusángulo.

El teorema de Pitágoras expresa: "En todo triángulo rectángulo, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los catetos"

Las funciones trigonométricas se llaman también:

Las funciones trigonométricas son las relaciones entre los catetos y la hipotenusa en un triángulo rectángulo.

La función sen ∝=sen\ \propto=sen ∝=

La función cosecante es la razón entre:

Los triángulos rectángulos de ángulos notables, son aquellos en los cuales conociendo las medidas de sus ángulos agudos se puede saber en qué proporción se encuentran sus lados.

Los valores de las funciones trigonométricas de π3\frac{\pi}{3}3π​ son:

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La función
$sen\ \propto=$

Los valores de las funciones trigonométricas de
$\frac{\pi}{3}$ son: