Even and odd are words used to define a function's symmetry. The graph of y=sin(x)+cos(x) has neither even symmetry nor odd symmetry.
What is an even and odd symmetry?
Even and odd are words used to define a function's symmetry. An even function is symmetric around a graph's y-axis. An odd function is symmetric around a graph's origin (0,0). This indicates that if you rotate an odd function 180° about the origin, you will end up with the same function you started with.
Since the function is neither symmetric about the y-axis nor symmetric about the origin.
Thus, the graph of y=sin(x)+cos(x) has neither even symmetry nor odd symmetry.
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