Question

What is the domain of the sine and cosine functions?

Answer 1

Answer: B. All real numbers

Step-by-step explanation:

For the equations y = sin(x) and y = cos(x), we can replace x with any real number we want. The output y value will be between -1 and 1, inclusive of both endpoints.

The graph for each function shows a bouncing wave stretching forever to the left and right. This visually confirms the domain.

Answer 2

Remember that the domain is all possible x values of a function. In the case of sine and cosine functions, they go up and down (like waves), but go on forever. Therefore, the domain is all real numbers.

Correct Answer: B, All Real Numbers

Hope this helps!