Trigonometría Ejemplos

\tan (x) = \frac{4}{3}

$\tan (x) = \frac{4}{3}$ ,

\sin (x) = \frac{4}{5}

$\sin (x) = \frac{4}{5}$

Paso 1

Identifica los lados conocidos del triángulo mediante

\tan (x) = \frac{4}{3}

$\tan (x) = \frac{4}{3}$ .

\tan (x) = \frac{opp}{adj} = \frac{4}{3}

$\tan (x) = \frac{opp}{adj} = \frac{4}{3}$

Paso 2

Identifica los lados conocidos del triángulo mediante

\sin (x) = \frac{4}{5}

$\sin (x) = \frac{4}{5}$ .

\sin (x) = \frac{opp}{hyp} = \frac{4}{5}

$\sin (x) = \frac{opp}{hyp} = \frac{4}{5}$

Paso 3

Usa

hyp = 5

$hyp = 5$ y

adj = 3

$adj = 3$ para obtener el valor del coseno.

\cos (x) = \frac{adj}{hyp} = \frac{3}{5}

$\cos (x) = \frac{adj}{hyp} = \frac{3}{5}$

Paso 4

Usa

hyp = 5

$hyp = 5$ y

adj = 3

$adj = 3$ para obtener el valor de la secante.

\sec (x) = \frac{1}{\cos (x)} = \frac{hyp}{adj} = \frac{5}{3}

$\sec (x) = \frac{1}{\cos (x)} = \frac{hyp}{adj} = \frac{5}{3}$

Paso 5

Usa

opp = 4

$opp = 4$ y

adj = 3

$adj = 3$ para obtener el valor de la cotangente.

\cot (x) = \frac{1}{\tan (x)} = \frac{adj}{opp} = \frac{3}{4}

$\cot (x) = \frac{1}{\tan (x)} = \frac{adj}{opp} = \frac{3}{4}$

Paso 6

Usa

opp = 4

$opp = 4$ y

adj = 3

$adj = 3$ para obtener el valor de la cosecante.

\csc (x) = \frac{1}{\sin (x)} = \frac{hyp}{opp} = \frac{5}{4}

$\csc (x) = \frac{1}{\sin (x)} = \frac{hyp}{opp} = \frac{5}{4}$

Paso 7

Las funciones trigonométricas obtenidas son las siguientes:

\sin (x) = \frac{4}{5}

$\sin (x) = \frac{4}{5}$

\cos (x) = \frac{3}{5}

$\cos (x) = \frac{3}{5}$

\tan (x) = \frac{4}{3}

$\tan (x) = \frac{4}{3}$

\cot (x) = \frac{3}{4}

$\cot (x) = \frac{3}{4}$

\sec (x) = \frac{5}{3}

$\sec (x) = \frac{5}{3}$

\csc (x) = \frac{5}{4}

$\csc (x) = \frac{5}{4}$

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