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Razones trigonométricas

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Razones trigonométricas

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(4)
Hallar el valor exacto de las seis razones trigonométricas.

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Undécimo grado - Bachillerato
bachiller en informática
 Recommended age: 16 years old
185 times made

Created by

Mixadys Gonzalez
Mixadys Gonzalez
Panama

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Razones trigonométricasOnline version

Hallar el valor exacto de las seis razones trigonométricas.

by Mixadys Gonzalez
1

II 12 15 12 2 12 9 2 III 15 2 12 3 15 3 12 2 9 2 2 15 1 9

En cada uno de los siguientes puntos , encuentre la coordenada que falta , Determine el valor exacto de las seis razones trigonométricas para el ángulo ?

Problema #1 .
Hallar el valor exacto de las seis funciones trigonométricas pasa por el punto
( - 1 , - ? 3 )

Solución : El ángulo se encuentra en el cuadrante . Los catetos son
x = - 1 y y = - ? 3

Se debe hallar el radio vector :
r = ? ( ( - 1 ) ^2 + ( - ? 3 ) ^2 ) = ? ( 1 + 3 ) = ? 4 =

Sen ? = - ? 3 / Cos ? = - / Tan ? = ? 3
Csc ? = - / ? 3 = - ( ? 3 ) / Sec ? = - Cot ? = ? 3 /


Problema #2 .
Hallar el valor exacto de las seis funciones trigonométricas que pasa por
y = 9 y r = 15 P está en Q_2 .

Solución : El ángulo se encuentra en el cuadrante . y = 9 ; r = 15

Se debe hallar la abscisa o el valor de x :
x = ? ( ( 15 ) ^2 - ( 9 ) ^2 ) = ? ( 225 - 81 ) = ? 144 = -

Sen ? = / Cos ? = - / Tan ? = / ( - )

Csc ? = / Sec ? = - / Cot ? = ( - ) / 9

 
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