question 2 of 25 which function does not have a period of 2π? a. y = sec x b. y = cos x c. y = tan x d. y =…

question 2 of 25 which function does not have a period of 2π? a. y = sec x b. y = cos x c. y = tan x d. y = sin x

question 2 of 25 which function does not have a period of 2π? a. y = sec x b. y = cos x c. y = tan x d. y = sin x

Answer

Explanation:

Step1: Recall period formulas

The period of $y = \sin x$ and $y=\cos x$ is $2\pi$. The period of $y = \sec x=\frac{1}{\cos x}$ is also $2\pi$ since the zero - points of $\cos x$ repeat every $2\pi$. The period of $y=\tan x=\frac{\sin x}{\cos x}$ is $\pi$.

Answer:

C. $y = \tan x$