Verified Answer :

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

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.