Chapter 6: Q. 15 (page 419)

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

Short Answer

Expert verified

The graph of $y = \tan x$ have vertical asymptotes at $- \frac{3 π}{2}, - \frac{π}{2}, \frac{π}{2}, a n d \frac{3 π}{2}$ where $- 2 π \leq x \leq 2 π .$

Step by step solution

Step 1. Given Information

The given function is $y = \tan x .$

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

Step 2. Finding the numbers

For the function, $y = \tan x$ vertical asymptotes occur at odd integer multiples of $\frac{π}{2} .$

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

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the numbers

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For what numbers x,-2π≤x≤2π,does the graph ofy=tanx 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

Pure Maths

Calculus

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

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