MortimoreSteam MortimoreSteam
  • 10-05-2019
  • Mathematics
contestada

Which of the functions have period pi?
A.) y = tan x
B.) y = csc x
C.) y = cot x
D.) y = sec x

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 10-05-2019

ANSWER

A.) y = tan x

C.) y = cot x

EXPLANATION

The period refers to the interval over which the graph completes one cycle

The trigonometric functions

[tex]y = \tan(x) [/tex]

and

[tex]y = \cot(x) [/tex]

are reciprocals of each other.

They have the same period, which is π

Also y=cscx and y=secx are reciprocals of the sine and the cosine functions respectively.

They have periods of 2π

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