Which function has y-axis symmetry?
A) $y = \tan x$
B) $y = \csc x$
C) $y = \cot x$
D) $y = \sec x$
E) all have y-axis symmetry

Question

Quizplus · Accepted Answer

The function $y=\sec x$ has y-axis symmetry because it is even, meaning that the function output for a given input and its opposite input are the same. Specifically, $\sec (-x)=\frac{1}{\cos(-x)}=\frac{1}{\cos x}=\sec x$, which means that the graph has symmetry across the y-axis.

Which Function Has Y-Axis Symmetry? A) y=tan⁡xy = \tan xy=tanx B) y=csc⁡xy = \csc xy=cscx

Which Function Has Y-Axis Symmetry?
A) $y = \tan x$ B) $y = \csc x$