Answer
Domain : $[-2, 2]$ and Range: $[-\dfrac{\pi}{2}, \dfrac{\pi}{2}]$
Work Step by Step
Doubling the period of the sine curve result in the domain getting doubled. The range remains the same.
Therefore, we have the Domain and Range of the function as follows:
Domain : $[-2, 2]$ and Range: $[-\dfrac{\pi}{2}, \dfrac{\pi}{2}]$
