Question

What is the range of the graph of y = sin x?
A. All Real Numbers
B. -1 ≤ x ≤ 1
C. -1 ≤ y ≤ 1
D. (0, 1)

Answer 1

C
Since sin (x) is the ratio of the opposite side of the angle and the hypotenuse, and the leg is smaller then the hypotenuse, sin (x) is less than 1 in a right triangle. If we extend from a right triangle to a unit circle, then Sin (x) could be 1 when x = 90 and -1 when x = -90.
B is incorrect because we're looking for the range, not the domain.

Answer 2

thank you