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domain sec2(x)
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Solution
πn≤x<π2+πnorπ2+πn<x<π+πn
+1
Interval Notation
[πn,π2+πn)∪(π2+πn,π+πn)
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Solution steps
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Domain definition
The domain of a function is the set of input or argument values for which the function is real and defined
Take the denominator(s) of sec2(x) and compare to zero:x=π2+πn
Periodicity of sec2(x):π
Combine period: πn≤x<π+πn and undefined points. The domain is