Problem 160 of 7
Determine even or odd symmetry of basic trig function secant.
Hints
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identify y-axis or origin symmetry.
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Identify y-axis or origin symmetry for sine/cosine/tangent and reciprocal functions.
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Solution
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1. Use f(-x)=f(x) for even and f(-x)=-f(x) for odd.
2. Recall graph symmetry about y-axis or origin.
3. State the function's symmetry.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Confusing periodicity with evenness.