Which of the following statements are true? 1. sec 2x = sec 2 sec x II. sec 2æ = sec(x +æ) III. 2 sec x = sec x + secx IV. sec 2x + 2 sec x O I, I, III only O II, II, and IV only O I only

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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The image presents a multiple-choice question asking which of the following mathematical statements are true. The statements involve the secant function:

I. \( \sec 2x = \sec 2 \sec x \)

II. \( \sec 2x = \sec(x + x) \)

III. \( 2 \sec x = \sec x + \sec x \)

IV. \( \sec 2x \neq 2 \sec x \)

The answer choices provided are:

- I, II, III only
- II, III, and IV only
- I only
- III only

(Note: The secant function, denoted as \( \sec \), is the reciprocal of the cosine function in trigonometry.)
Transcribed Image Text:The image presents a multiple-choice question asking which of the following mathematical statements are true. The statements involve the secant function: I. \( \sec 2x = \sec 2 \sec x \) II. \( \sec 2x = \sec(x + x) \) III. \( 2 \sec x = \sec x + \sec x \) IV. \( \sec 2x \neq 2 \sec x \) The answer choices provided are: - I, II, III only - II, III, and IV only - I only - III only (Note: The secant function, denoted as \( \sec \), is the reciprocal of the cosine function in trigonometry.)
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