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Funciones trigonom tricas b sicas y tri ngulos rect ngulo1 1

Funciones trigonom tricas b sicas y tri ngulos rect ngulo1 1

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Funciones trigonométricas Básicas y Triángulos rectángulos. La seis razones de la longitud de los lados de un triángulo rectángulo son las funciones trigonométricas de un ángulo 𝜶. Se definen tomando como referencia el triángulo rectángulo ∆𝐴𝐵𝐶 como se muestra en la figura. Las abreviaciones op, ady, e hip, aluden a la longitud del lado opuesto de 𝜶 , al lado adyacente de 𝜶 , y a la hipotenusa, respectivamente. Definición: (Funciones trigonométricas) Sea 𝛼 un ángulo agudo del ∆𝐴𝐵𝐶 definimos: 𝑜𝑝 Seno 𝛼 = 𝑠𝑒𝑛 𝛼 = ℎ𝑖𝑝 coseno 𝛼 = 𝑐𝑜𝑠 𝛼 = 𝑐𝑜𝑠𝑒𝑐𝑎𝑛𝑡𝑒 𝛼 = 𝑐𝑠𝑐 𝛼 = 𝑎𝑑𝑦 ℎ𝑖𝑝 𝑜𝑝 ℎ𝑖𝑝 𝑠𝑒𝑐𝑎𝑛𝑡𝑒 𝛼 = 𝑠𝑒𝑐 𝛼 = 𝑎𝑑𝑦 ℎ𝑖𝑝 𝑜𝑝 tangente 𝛼 = tan 𝛼 = 𝑎𝑑𝑦 𝑐𝑜𝑡𝑎𝑛𝑔𝑒𝑛𝑡𝑒 𝛼 = cot 𝛼 = 𝑎𝑑𝑦 𝑜𝑝 En virtud de que una figura geométrica no cambia su tamaño o su forma al ser trasladada o al rotar, las razones entre los lados de un triángulo seguirán siendo las mismas independientemente de la posición del triángulo. Con lo cual: 𝑎 SenA= 𝑐 =cos B ; 𝑏 Cos A=𝑐 =sen B ; 𝑎 Tan A=𝑏=cot B ; C 𝑐 Csc A=𝑎=secB 𝑐 sec A=𝑏 =cscB b a 𝑏 Cot A=𝑎 =tanB B A c De las igualdades anteriores podemos observar que toda función trigonométrica de un ángulo agudo es igual a la correspondiente co-f ...
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