Question

Which of the functions have period pi?

A.) y = tan x
B.) y = csc x
C.) y = cot x
D.) y = sec x

Answer 1

A.) y = tan x

C.) y = cot x

Step-by-step explanation

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

The trigonometric functions

`y = \tan(x)`

and

`y = \cot(x)`

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