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

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

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.