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Homework Statement
State one known vertical asymptote of the graph of 1/secx
Homework Equations
None
The Attempt at a Solution
1/secx = cosx
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.
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.
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.
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.
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.