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Which of the functions below have period 2π? Check all that apply.

Which of the functions below have period 2π? Check all that apply.-example-1
User Savio Mathew
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1 Answer

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We need to select all the functions from the options that have a period of 2π.

If a function has period P, the function f(x) repeats its values every time x is a multiple of P.

Thus, by analyzing the graph of periodic functions, we can determine their period.

Observe the graphs of the following functions:

Notice that the functions y = tan x and y = cot x have period π.

And the functions y = csc x and y = sec x have period 2π.

Therefore, the functions that have period 2π are:

A. y = csc x

B. y = sec x

Which of the functions below have period 2π? Check all that apply.-example-1
Which of the functions below have period 2π? Check all that apply.-example-2
Which of the functions below have period 2π? Check all that apply.-example-3
Which of the functions below have period 2π? Check all that apply.-example-4
User Incepter
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