The expression that gives all the real values for which sec(x) = -1 is:
(2k + 1)pi, k is an integer, fourth option.
What is the secant of an angle?
The secant of an angle is given by one divided by the cosine of the angle, that is:
sec(x) = 1/cos(x).
Hence:
- sec(x) = -1 when cos(x) = -1.
- cos(x) = -1 when [tex]x = \pm \pi, \pm 3\pi, \pm 5\pi, \cdots[/tex], which can be simplified as (2k + 1)pi, k is an integer.
Hence expression that gives all the real values for which sec(x) = -1 is:
(2k + 1)pi, k is an integer, fourth option.
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