¿Cuál es el valor de cos ⁡ θ \cos\theta cos θ ?

cos ⁡ θ = 5 13 \cos\theta=\ \frac{5}{13} cos θ = 1 3 5

cos ⁡ θ = 5 12 \cos\theta\ =\ \frac{5}{12} cos θ = 1 2 5

cos ⁡ θ = 12 13 \cos\theta\ =\ \frac{12}{13} cos θ = 1 3 1 2

cos ⁡ θ = 13 12 \cos\theta\ =\ \frac{13}{12} cos θ = 1 2 1 3

¿Cuál es el valor de cos ⁡ θ \cos\ \theta cos θ ?

C o s θ = 65 9 Cos\ \theta\ =\ \frac{\sqrt{65}}{9} C o s θ = 9 6 5 <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">

C o s θ = 4 9 Cos\ \theta\ =\ \frac{4}{9} C o s θ = 9 4

C o s θ = 9 4 Cos\ \theta\ =\ \frac{9}{4} C o s θ = 4 9

C o s θ = 4 65 Cos\ \theta\ =\ \frac{4}{\sqrt{65}} C o s θ = 6 5 <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"> 4

Calcula s e n θ , cos ⁡ θ , tan ⁡ θ . sen\theta,\ \cos\theta,\ \tan\theta. s e n θ , cos θ , tan θ . SI, a=12, c= 12 3 12\sqrt{3} 1 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"> , b=24

s e n θ = 3 2 , cos ⁡ θ = 1 2 , tan ⁡ θ = 3 sen\theta\ =\ \frac{\sqrt{3}}{2},\ \cos\theta=\ \frac{1}{2},\ \tan\theta=\ \sqrt{3} s e n θ = 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 θ = 2 1 , tan θ = 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 θ = 12 3 24 , cos ⁡ θ = 12 24 , tan ⁡ θ = 12 3 12 sen\theta\ =\ \frac{12\sqrt{3}}{24},\ \cos\theta=\ \frac{12}{24},\ \tan\theta=\ \frac{12\sqrt{3}}{12} s e n θ = 2 4 1 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 θ = 2 4 1 2 , tan θ = 1 2 1 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">

s e n θ = 2 3 , cos ⁡ θ = 2 1 , tan ⁡ θ = 3 sen\theta\ =\ \frac{2}{\sqrt{3}},\ \cos\theta=\ \frac{2}{1},\ \tan\theta=\ \sqrt{3} s e n θ = 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"> 2 , cos θ = 1 2 , tan θ = 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 θ = 24 3 12 , cos ⁡ θ = 12 24 , tan ⁡ θ = 3 12 sen\theta\ =\ \frac{24\sqrt{3}}{12},\ \cos\theta=\ \frac{12}{24},\ \tan\theta=\ \frac{\sqrt{3}}{12} s e n θ = 1 2 2 4 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 θ = 2 4 1 2 , tan θ = 1 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">

¿ C u a ˊ l e s e l v a l o r d e S e n 30 ° ¿Cuál\ es\ el\ valor\ de\ Sen\ 30\degree ¿ C u a ˊ l e s e l v a l o r d e S e n 3 0 °

2 2 \frac{\sqrt{2}}{2} 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">

3 2 \frac{\sqrt{3}}{2} 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">

¿ C u a ˊ l e s e l v a l o r d e C o s 30 ° ¿Cuál\ es\ el\ valor\ de\ Cos\ 30\degree ¿ C u a ˊ l e s e l v a l o r d e C o s 3 0 °

3 2 \frac{\sqrt{3}}{2} 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">

2 2 \frac{\sqrt{2}}{2} 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">

Estás esquiando en una montaña con una altitud de 1200 pies. El ángulo de depresión es 21 ° 21\degree 2 1 ° . Halla la distancia de x, esquías montaña abajo hacia el pies más cercano.

≈ 3348.51 p i e s \approx3348.51\ pies ≈ 3 3 4 8 . 5 1 p i e s

≈ 3349 p i e s \approx3349\ pies ≈ 3 3 4 9 p i e s

≈ 3126.11 p i e s \approx3126.11\ pies ≈ 3 1 2 6 . 1 1 p i e s

≈ 3126.10 p i e s \approx3126.10\ pies ≈ 3 1 2 6 . 1 0 p i e s

Funciones y aplicaciones trigonométricas

Authored by Tatiana De La Paz

Mathematics

11th Grade - University

CCSS covered

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

¿Cuál es el valor de $\cos\theta$ ?

$\cos\theta=\ \frac{5}{13}$

$\cos\theta\ =\ \frac{5}{12}$

$\cos\theta\ =\ \frac{12}{13}$

$\cos\theta\ =\ \frac{13}{12}$

Tags

CCSS.HSG.SRT.C.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

¿Cuál es el valor de $\cos\ \theta$ ?

$Cos\ \theta\ =\ \frac{4}{9}$

$Cos\ \theta\ =\ \frac{9}{4}$

$Cos\ \theta\ =\ \frac{\sqrt{65}}{9}$

$Cos\ \theta\ =\ \frac{4}{\sqrt{65}}$

Tags

CCSS.HSG.SRT.C.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Calcula $sen\theta,\ \cos\theta,\ \tan\theta.$ SI, a=12, c= $12\sqrt{3}$ , b=24

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

$sen\theta\ =\ \frac{12\sqrt{3}}{24},\ \cos\theta=\ \frac{12}{24},\ \tan\theta=\ \frac{12\sqrt{3}}{12}$

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

$sen\theta\ =\ \frac{24\sqrt{3}}{12},\ \cos\theta=\ \frac{12}{24},\ \tan\theta=\ \frac{\sqrt{3}}{12}$

Tags

CCSS.HSG.SRT.C.6

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$¿Cuál\ es\ el\ valor\ de\ Sen\ 30\degree$

$\frac{1}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{3}}{2}$

$1$

Tags

CCSS.HSG.SRT.C.6

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$¿Cuál\ es\ el\ valor\ de\ Cos\ 30\degree$

$\frac{1}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{3}}{2}$

$1$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

¿Cuál es la altura de la sombra proyectada por un edificio de 100m de altura cuando el sol se ha elevado $10\degree$ .

$\approx567.13$

$\approx567.12$

$\approx17.63$

$\approx17.6$

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A cierta hora el sol se observa con un ángulo de elevación de 30 grados. Calcula la altura de un árbol que proyecta una sombra de 9m.

$\approx5.19m\ o\ 3\sqrt{3}$

$\approx5.20m\ o\ 3\sqrt{3\ }\$

$\approx15.58m\ o\ 3\sqrt{3}$

$\approx15.59m\ o\ 3\sqrt{3}$

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Un topógrafo, utilizando un poste de observación de 6 pies de altura, colocado a 200 pies del edificio, observa el tope de un edificio con un ángulo de elevación de $32\degree.$ ¿Cuál es la altura del edificio?

$\approx124.97\ pies$

$\approx125.97\ pies$

$\approx130.97\ pies$

$\approx135.97\ pies$

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Estás esquiando en una montaña con una altitud de 1200 pies. El ángulo de depresión es $21\degree$ . Halla la distancia de x, esquías montaña abajo hacia el pies más cercano.

$\approx3348.51\ pies$

$\approx3349\ pies$

$\approx3126.11\ pies$

$\approx3126.10\ pies$

Tags

CCSS.HSG.SRT.C.8

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Halla los valores de x y y usando el seno y el coseno.

$x\approx6.14\ y\ y\approx12.58$

$x\approx6.1\ y\ y\approx13$

$x\approx6.83\ y\ y\approx12.6$

$x\approx7.10\ y\ y\approx13.10$

Tags

CCSS.HSG.SRT.C.8

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Funciones y aplicaciones trigonométricas

¿Cuál es el valor de cos⁡θ\cos\thetacosθ ?

¿Cuál es el valor de cos⁡ θ\cos\ \thetacos θ ?

Calcula senθ, cos⁡θ, tan⁡θ.sen\theta,\ \cos\theta,\ \tan\theta.senθ, cosθ, tanθ. SI, a=12, c= 12312\sqrt{3}123​ , b=24

¿Cuaˊl es el valor de Sen 30°¿Cuál\ es\ el\ valor\ de\ Sen\ 30\degree¿Cuaˊl es el valor de Sen 30°

¿Cuaˊl es el valor de Cos 30°¿Cuál\ es\ el\ valor\ de\ Cos\ 30\degree¿Cuaˊl es el valor de Cos 30°

¿Cuál es la altura de la sombra proyectada por un edificio de 100m de altura cuando el sol se ha elevado 10°10\degree10° .

A cierta hora el sol se observa con un ángulo de elevación de 30 grados. Calcula la altura de un árbol que proyecta una sombra de 9m.

Un topógrafo, utilizando un poste de observación de 6 pies de altura, colocado a 200 pies del edificio, observa el tope de un edificio con un ángulo de elevación de 32°.32\degree.32°. ¿Cuál es la altura del edificio?

Estás esquiando en una montaña con una altitud de 1200 pies. El ángulo de depresión es 21°21\degree21° . Halla la distancia de x, esquías montaña abajo hacia el pies más cercano.

Halla los valores de x y y usando el seno y el coseno.

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¿Cuál es el valor de $\cos\theta$ ?

¿Cuál es el valor de $\cos\ \theta$ ?

Calcula $sen\theta,\ \cos\theta,\ \tan\theta.$ SI, a=12, c= $12\sqrt{3}$ , b=24

$¿Cuál\ es\ el\ valor\ de\ Sen\ 30\degree$

$¿Cuál\ es\ el\ valor\ de\ Cos\ 30\degree$

¿Cuál es la altura de la sombra proyectada por un edificio de 100m de altura cuando el sol se ha elevado $10\degree$ .

Un topógrafo, utilizando un poste de observación de 6 pies de altura, colocado a 200 pies del edificio, observa el tope de un edificio con un ángulo de elevación de $32\degree.$ ¿Cuál es la altura del edificio?

Estás esquiando en una montaña con una altitud de 1200 pies. El ángulo de depresión es $21\degree$ . Halla la distancia de x, esquías montaña abajo hacia el pies más cercano.