Vertical asymptote of cos graph?

In summary, a vertical asymptote in a cosine graph is a line that the graph approaches but never touches, occurring when the denominator of the cosine function is equal to zero. To find the vertical asymptote, set the denominator of the cosine function equal to zero and solve for the variable. Yes, a cosine graph can have multiple vertical asymptotes when the cosine function has multiple values that make the denominator equal to zero. The vertical asymptote represents values of the independent variable that make the denominator of the cosine function equal to zero, and it can affect the overall shape of the graph by creating a gap or discontinuity and changing the direction of the graph.
  • #1
latitude
56
0

Homework Statement



State one known vertical asymptote of the graph of 1/secx

Homework Equations


None


The Attempt at a Solution


1/secx = cosx
 
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  • #3
NONE :) It was actually secx that I needed to find. x = pi/2
 

Related to Vertical asymptote of cos graph?

1. What is a vertical asymptote in a cosine graph?

A vertical asymptote in a cosine graph is a line that the graph approaches but never touches. It is a vertical line that occurs when the denominator of the cosine function is equal to zero.

2. How do you find the vertical asymptote of a cosine graph?

To find the vertical asymptote of a cosine graph, set the denominator of the cosine function equal to zero and solve for the variable. The resulting value is the equation of the vertical asymptote.

3. Can a cosine graph have multiple vertical asymptotes?

Yes, a cosine graph can have multiple vertical asymptotes. This occurs when the cosine function has multiple values that make the denominator equal to zero.

4. What does the vertical asymptote represent in a cosine graph?

The vertical asymptote in a cosine graph represents values of the independent variable (usually x) that make the denominator of the cosine function equal to zero. It is a point where the graph is undefined and cannot be plotted.

5. How does the vertical asymptote of a cosine graph affect the overall shape of the graph?

The vertical asymptote of a cosine graph can affect the overall shape of the graph by creating a gap or discontinuity in the graph. It can also change the direction of the graph as it approaches the asymptote from different directions.

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