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:
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.