7
QuizMultiple Choice

Graphing Cosecant and Secant Functions — Quiz

Question 7 • Mathematics III

Which of the following is an asymptote of y is equal to cosecant of x ?

Answer
A
x is equal to negative pi
B
x is equal to negative pi over 3
C
x is equal to pi over 2
D
x is equal to pi over 4

Explanation

Since cosecant is the reciprocal of sine, y = csc(x) = 1/sin(x). It is undefined wherever sin(x) = 0, which occurs at integer multiples of π; the graph has vertical asymptotes there. x = −π is one such value, so the correct choice is “x is equal to negative pi.”

AI-written and checked against the verified answer.

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