Respuesta :

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

Answer:

Option B and D are correct that is [tex]y=secx[/tex] and  [tex]y=cscx[/tex]  respectively.

Step-by-step explanation:

We have been given four functions:

CaseA:

[tex]y=tanx[/tex]

[tex]\text{Period oftanx is} \pi[/tex]

Hence, A is correct.

CaseB:

[tex]y=secx[/tex]

[tex]\text{Period of secx is} 2\pi[/tex]

Hence, B is correct.

CaseC:

[tex]y=cotx[/tex]

[tex]\text{Period of cotx is} \pi[/tex]

Hence, C is not correct.

CaseD:

[tex]y=cscx[/tex]

[tex]\text{Period of cscx is} 2\pi[/tex]

Hence, D is correct.