Questions: COTX es igual a sen x / cos x 1 / cos x 1/sex cos x / sen x

COTX es igual a sen x / cos x 1 / cos x 1/sex cos x / sen x
Transcript text: COTX es igual a * $\operatorname{sen} x / \cos x$ $1 / \cos x$ 1/sex $\cos x / \operatorname{sen} x$
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Solution

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To determine what \(\cot x\) is equal to, we need to recall the trigonometric identity for cotangent. The cotangent of an angle \(x\) is the reciprocal of the tangent of \(x\), which is the ratio of the adjacent side to the opposite side in a right triangle. Therefore, \(\cot x\) is equal to \(\cos x / \sin x\).

Paso 1: Identificación de la función cotangente

La cotangente de un ángulo \(x\) se define como la razón entre el coseno y el seno de ese ángulo. Matemáticamente, esto se expresa como: \[ \cot x = \frac{\cos x}{\sin x} \]

Paso 2: Comparación con las opciones dadas

Ahora, comparando esta expresión con las opciones proporcionadas en la pregunta:

  1. \(\frac{\sin x}{\cos x}\)
  2. \(\frac{1}{\cos x}\)
  3. \(\frac{1}{\sin x}\)
  4. \(\frac{\cos x}{\sin x}\)

La opción que coincide con nuestra expresión para \(\cot x\) es la cuarta opción.

Respuesta Final

La respuesta es \(\boxed{\frac{\cos x}{\sin x}}\).

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