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MatemáticasMatemáticas335 views·Updated Jun 19, 2026·8 pages

Introducción a la Trigonometría: Una Guía Esencial

user profile picture
melaniii@flowrecittas

Las funciones trigonométricas van más allá del seno y coseno...

1
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

Funciones Trigonométricas Complementarias

¿Te has preguntado qué pasa cuando necesitas el inverso del coseno o del seno? Las funciones trigonométricas complementarias son exactamente eso: las "versiones invertidas" de las funciones básicas que ya dominas.

La secante es simplemente 1 dividido por el coseno: sec(α) = 1/cos(α). De forma similar, la cosecante es 1 dividido por el seno: cosec(α) = 1/sen(α). Estas dos son súper útiles cuando trabajas con triángulos donde los valores del seno y coseno son muy pequeños.

La tangente relaciona directamente el seno y el coseno: tg(α) = sen(α)/cos(α). Su inversa es la cotangente: cotg(α) = 1/tg(α). Piensa en la tangente como la "pendiente" del ángulo.

Truco clave: La identidad fundamental sen²(α) + cos²(α) = 1 es tu mejor amiga para resolver cualquier problema trigonométrico. Memorízala ya mismo.

2
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno
3
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno
4
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno
5
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno
6
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno
7
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno
8
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

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Stefan SiOS user

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Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user
MatemáticasMatemáticas335 views·Updated Jun 19, 2026·8 pages

Introducción a la Trigonometría: Una Guía Esencial

user profile picture
melaniii@flowrecittas

Las funciones trigonométricas van más allá del seno y coseno básicos que ya conoces. Estas funciones adicionales te van a facilitar muchísimo la resolución de problemas complejos y son fundamentales para aprobar matemáticas de bachillerato.

1
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

Funciones Trigonométricas Complementarias

¿Te has preguntado qué pasa cuando necesitas el inverso del coseno o del seno? Las funciones trigonométricas complementarias son exactamente eso: las "versiones invertidas" de las funciones básicas que ya dominas.

La secante es simplemente 1 dividido por el coseno: sec(α) = 1/cos(α). De forma similar, la cosecante es 1 dividido por el seno: cosec(α) = 1/sen(α). Estas dos son súper útiles cuando trabajas con triángulos donde los valores del seno y coseno son muy pequeños.

La tangente relaciona directamente el seno y el coseno: tg(α) = sen(α)/cos(α). Su inversa es la cotangente: cotg(α) = 1/tg(α). Piensa en la tangente como la "pendiente" del ángulo.

Truco clave: La identidad fundamental sen²(α) + cos²(α) = 1 es tu mejor amiga para resolver cualquier problema trigonométrico. Memorízala ya mismo.

2
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students
3
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students
4
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students
5
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students
6
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students
7
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students
8
of 8
# TEMA 5

TRIGONOMETRÍA

FUNCIONES TRIGONOMETRICAS


sen

30°

tg

sen (30)=1/2

COS (30°) = √3/2

tg (30°)= sen (30)
COS (30°)

seno
coseno

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Most popular content: funciones trigonométricas

9

Most popular content in Matemáticas

9

Most popular content

9

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.6/5App Store
4.7/5Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan SiOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user