There are two cases of horizontal symmetry. One in the region [tex]0 < x < 180[/tex] and another in the region [tex]180 < x < 360[/tex].
Symmetry analysis of a sinusoidal function
This function can be divided into four intervals of same length: (i) [tex]x \in (0, 90)[/tex], (ii) [tex]x \in (90, 180)[/tex], (iii) [tex]x\in (180, 270)[/tex], (iv) [tex]x \in (270, 360)[/tex], and we draw two axis of symmetry: (i) [tex]x = 90[/tex], (ii) [tex]x = 270[/tex].
In this context, we see the existence of two cases of horizontal symmetry. One in the region [tex]0 < x < 180[/tex] and another in the region [tex]180 < x < 360[/tex].
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