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Quiz de Trigonometría

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Quiz de Trigonometría

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About this activity

Evaluación rápida de trigonometría

Created by

Christian Jahir Sanchez Fonseca
Christian Jahir Sanchez Fonseca
Ecuador

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Quiz de Trigonometría
 

Quiz de TrigonometríaOnline version

Evaluación rápida de trigonometría

by Christian Jahir Sanchez Fonseca
1

En un triángulo rectángulo, el cateto opuesto mide 4 y la hipotenusa 5. ¿Cuál es el valor de seno?

2

Si sin θ = 0.6, ¿cuál es cos θ?

3

¿Qué función es la razón entre el opuesto y el adyacente?

4

¿Qué valor tiene tan(45°)?

5

Qué ángulo tiene sin = √2/2 (en 0°–90°)?

6

En un triángulo rectángulo, catetos 3 y 4, ¿cuál es la hipotenusa?

7

Identidad trigonométrica: 1+tan^2θ = ?

8

Si cos θ = 0.5 y θ está en 0°–90°, ¿cuál es sin θ?

9

¿Qué función se define como cosθ/sinθ?

10

¿Cómo se define cosecante cscθ?

Explicación

Seno = opuesto / hipotenusa, por eso 4/5.

Uso de la ident.: sin^2θ + cos^2θ = 1.

La tangente es opuesto/adyacente.

Tan 45° = 1.

El valor √2/2 corresponde a 45° en el primer cuadrante.

Aplicar pitágoras: 3^2+4^2=5^2.

Una identidad clásica: 1+tan^2θ = sec^2θ.

Sin^2θ = 1 - cos^2θ → sinθ = √(1-0.25) = √0.75 = √3/2.

La cotangente es cos/sin.

La cosecante es la razón hipotenusa/opuesto.

 
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