Question

The graph of $y=3cot(x/3+\pi /3);x\in R$ is given. Find the domain and period of the function.

• A. Domain: $R-(3n-1)\pi ;n\in Z$
• B. Period: $2\pi$
• C. Domain: $R-(2n-1)\pi ;n\in Z$
• D. Period: $3\pi$

Answer 1

Answer: (A), (D)

Period: $3\pi$

It can be found out from the graph that the domain is $R-(3n-1)\pi ;n\in Z$ and the period is $3\pi$.