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Visual thinking tema 3

SERGIO RAMÍREZ CABRERA

Created on November 20, 2023

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Transcript

RAZONES trigonométricas DE UN TRIÁNGULO RECTÁNGULO

ÁNGULOS

Ejemplos

PINCHARPARA VER SUS ÁNGULOS Y SUS LADOS

resolución de triángulos (TRigonometría)

RAZONES TRIGONOMÉTRICAS DE ÁNGULOS CUALESQUIERA

Ejemplos

RESOLUCIÓN DE TRIÁNGULOS CUALESQUIERA

Ejemplos

Teorema del coseno

Teorema del seno

Aplicación de las formulas anteriormente proporcionadas.A + B + C = 180º

Ejemplos

Ejemplo de su aplicación en el 6

Ejemplo de su aplicación en el 6

Rocío illán y Sergio Ramírez

EJEMPLO

Halla todas las razones trigonométricas

33º

6 cm

EJEMPLO

Datos: b = 32cm ; a = 17cm ; C = 40ºHallar los ángulos A, B y el lado c

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EJEMPLOS

  • tg 120º = tg 30º
  • cos 1845º = cos 45º (dividir 1845 entre 360 para ver con que ángulo se corresponde)
  • sen (-120º) = sen 240

EJEMPLOS

tg = 2,25 ; sen < 0: Hallar la secante

90º

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I = seno positivo, coseno positivo, tangente positivaII = seno positivo, coseno negativo, tangente negativa III = seno negativo, coseno negativo, tangente positiva IV= seno negativo, coseno positivo, tangente negativa

tg

sen

cos

II

tg

sen

cos

I = 0º ≤ ≤ 90ºII = 90º ≤ ≤ 180º III = 180 ≤ ≤ 270º IV = 270º ≤ ≤ 360º

III

IV

II

IV

III

sen 45º = sen 135º-cos 45º = cos 135º -tg 45º = tg 135º

sen 135

sen 45

135º

45º

cos 135

cos 45

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