6
lesson pretestMultiple Choice

Pretest

Question 6 • Mathematics III

What is the domain of y is equal to secant of x ?

Answer
A
all real numbers except n pi plus pi over 2 , where n is any integer
B
all real numbers except n pi and n pi plus pi over 2 , where n is any integer
C
all real numbers except n pi , where n is any integer
D
all real numbers

Explanation

Since secant is the reciprocal of cosine, sec x = 1/cos x is undefined wherever cos x = 0. Cosine is zero at x = nπ + π/2 for any integer n, so those values must be excluded from the domain. This matches choice B: all real numbers except nπ + π/2.

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