
Functions (trigonometric)
Flashcard
•
Mathematics
•
KG - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the secant function (sec x)?
Back
The secant function is defined as the reciprocal of the cosine function: sec x = 1/cos x.
2.
FLASHCARD QUESTION
Front
What happens to sec x when cos x is zero?
Back
When cos x is zero, sec x is undefined because you cannot divide by zero.
3.
FLASHCARD QUESTION
Front
What are asymptotes in the context of the secant function?
Back
Asymptotes are lines that the graph approaches but never touches. For sec x, they occur where cos x = 0.
4.
FLASHCARD QUESTION
Front
Which trigonometric function has the same asymptotes as sec x?
Back
The secant function has the same asymptotes as the cosecant function.
5.
FLASHCARD QUESTION
Front
What is the relationship between sec x and cos x?
Back
Sec x is the reciprocal of cos x, meaning sec x = 1/cos x.
6.
FLASHCARD QUESTION
Front
What is the graph of y = sec x characterized by?
Back
The graph of y = sec x has vertical asymptotes and is shaped like a series of U's and inverted U's.
7.
FLASHCARD QUESTION
Front
How do you find the vertical asymptotes of sec x?
Back
Vertical asymptotes occur at x = (2n+1)π/2, where n is an integer.
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