Show that y = sec x is an even function.?

Steve A2019-03-26T20:54:49Z

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For an even function, f(x) = f(-x)
Sec x = 1/(cos x)
Is cos x an even.function?
Yes. cos(π) = cos(-π) = cos(3π/2)

?2019-03-26T20:53:28Z

y = sec(-x) = 1/cos(-x) = 1/cos(x) = sec(x). You got the original function, so secant is even.