What is the definition oi sec(x)?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question:** What is the definition of sec(x)?

**Explanation:**

The function \( \sec(x) \) is the secant of \( x \) in trigonometry and is defined as the reciprocal of the cosine function. Mathematically, it is expressed as:

\[
\sec(x) = \frac{1}{\cos(x)}
\]

The secant function is crucial in trigonometry and often used in calculus, physics, and engineering to analyze periodic phenomena and waves.
Transcribed Image Text:**Question:** What is the definition of sec(x)? **Explanation:** The function \( \sec(x) \) is the secant of \( x \) in trigonometry and is defined as the reciprocal of the cosine function. Mathematically, it is expressed as: \[ \sec(x) = \frac{1}{\cos(x)} \] The secant function is crucial in trigonometry and often used in calculus, physics, and engineering to analyze periodic phenomena and waves.
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