Question

The graph of $y=3tan(x/3+\pi /6);x\in R$ is given below. Find the domain and the period of the function.

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

Answer 1

Answer: (A), (C)

Domain: $R-(3n+1)\pi ;n\in Z$

From the graph, we can find out that the domain and period of the function are $R-(3n+1)\pi ;n\in Z$ and $3\pi$ respectively.