Trigonometría Ejemplos

\sec (x) = \frac{13}{12}

$\sec (x) = \frac{13}{12}$ ,

\cot (x) = \frac{12}{5}

$\cot (x) = \frac{12}{5}$

Paso 1

Identifica los lados conocidos del triángulo mediante

\sec (x) = \frac{13}{12}

$\sec (x) = \frac{13}{12}$ .

\sec (x) = \frac{1}{\cos (x)} = \frac{hyp}{adj} = \frac{13}{12}

$\sec (x) = \frac{1}{\cos (x)} = \frac{hyp}{adj} = \frac{13}{12}$

Paso 2

Identifica los lados conocidos del triángulo mediante

\cot (x) = \frac{12}{5}

$\cot (x) = \frac{12}{5}$ .

\cot (x) = \frac{1}{\tan (x)} = \frac{adj}{opp} = \frac{12}{5}

$\cot (x) = \frac{1}{\tan (x)} = \frac{adj}{opp} = \frac{12}{5}$

Paso 3

Usa

hyp = 13

$hyp = 13$ y

opp = 5

$opp = 5$ para obtener el valor del seno.

\sin (x) = \frac{opp}{hyp} = \frac{5}{12}

$\sin (x) = \frac{opp}{hyp} = \frac{5}{12}$

Paso 4

Usa

hyp = 13

$hyp = 13$ y

adj = 12

$adj = 12$ para obtener el valor del coseno.

\cos (x) = \frac{adj}{hyp} = \frac{12}{13}

$\cos (x) = \frac{adj}{hyp} = \frac{12}{13}$

Paso 5

Usa

opp = 5

$opp = 5$ y

adj = 12

$adj = 12$ para obtener el valor de la tangente.

\tan (x) = \frac{opp}{adj} = \frac{5}{12}

$\tan (x) = \frac{opp}{adj} = \frac{5}{12}$

Paso 6

Usa

opp = 5

$opp = 5$ y

adj = 12

$adj = 12$ para obtener el valor de la cosecante.

\csc (x) = \frac{1}{\sin (x)} = \frac{hyp}{opp} = \frac{13}{5}

$\csc (x) = \frac{1}{\sin (x)} = \frac{hyp}{opp} = \frac{13}{5}$

Paso 7

Las funciones trigonométricas obtenidas son las siguientes:

\sin (x) = \frac{5}{12}

$\sin (x) = \frac{5}{12}$

\cos (x) = \frac{12}{13}

$\cos (x) = \frac{12}{13}$

\tan (x) = \frac{5}{12}

$\tan (x) = \frac{5}{12}$

\cot (x) = \frac{12}{5}

$\cot (x) = \frac{12}{5}$

\sec (x) = \frac{13}{12}

$\sec (x) = \frac{13}{12}$

\csc (x) = \frac{13}{5}

$\csc (x) = \frac{13}{5}$

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