Question

Which of the functions below have period 2pi? Check all that apply. A. y = tan x B. y = sec x C. y = cot x D. y = csc x

Answer 1

The correct answers are y=sec x, and y=csc x

Answer 2

Answer:

Option B and D are correct that is $y=secx$ and  $y=cscx$  respectively.

Step-by-step explanation:

We have been given four functions:

CaseA:

$y=tanx$

$\text{Period oftanx is} \pi$

Hence, A is correct.

CaseB:

$y=secx$

$\text{Period of secx is} 2\pi$

Hence, B is correct.

CaseC:

$y=cotx$

$\text{Period of cotx is} \pi$

Hence, C is not correct.

CaseD:

$y=cscx$

$\text{Period of cscx is} 2\pi$

Hence, D is correct.