Chapter 6: Q. 13 (page 419)

For what numbers $x, - 2 π \leq x \leq 2 π,$ does the graph of $y = s e c x$ have vertical asymptotes?

Short Answer

Expert verified

The graph of $y = s e c x$ have vertical asymptotes atrole="math" localid="1646401597898" $- \frac{3 π}{2}, - \frac{π}{2}, \frac{π}{2}, \frac{3 π}{2} in the interval - 2 π \leq x \leq 2 π .$

Step by step solution

Step 1. Given Information

The given function is $y = s e c x .$

We have to find the vertical asymptotes at $- 2 π \leq x \leq 2 π .$

Step 2. Finding the numbers

For the function, $y = s e c x$ vertical asymptotes occur at $x = \frac{π}{2} + nπ$ .

So, for $- 2 π \leq x \leq 2 π$ the vertical asymptotes occur at $- \frac{3 π}{2}, - \frac{π}{2}, \frac{π}{2}, \frac{3 π}{2} .$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

For what numbers $x, - 2 π \leq x \leq 2 π,$ does the graph of $y = s e c x$ have vertical asymptotes?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Probability and Statistics

Discrete Mathematics

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

For what numbers x,-2π≤x≤2π,does the graph of y=secxhave vertical asymptotes?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Probability and Statistics

Discrete Mathematics

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

For what numbers $x, - 2 π \leq x \leq 2 π,$ does the graph of $y = s e c x$ have vertical asymptotes?