Question

complete the sentence below. the domain of both the sine and cosine functions is , and the range is . (type your answers in interval notation. type exact answers, using π as needed.)

Explanation:

Step1: Recall domain of sine and cosine

The sine and cosine functions are defined for all real - numbers.

Step2: Write domain in interval notation

The set of all real numbers in interval notation is $(-\infty,\infty)$.

Step3: Recall range of sine and cosine

The values of $\sin(x)$ and $\cos(x)$ always lie between - 1 and 1 inclusive.

Step4: Write range in interval notation

The range in interval notation is $[-1,1]$.

Answer:

Domain: $(-\infty,\infty)$; Range: $[-1,1]$