Answer:
Here's what I get
Step-by-step explanation:
The range is the spread of the y-values (minimum to maximum).
cos x = adjacent/hypotenuse
In terms of the unit circle,
"adjacent" = x
"hypotenuse" = 1, so
cos x = the x-coordinate
Let's evaluate cos x as we go around the unit circle.
[tex]\begin{array}{rr}\mathbf{x/^{\circ}} & \mathbf{\cos x} \\0 & 1 \\90 &0 \\180 & -1 \\270 & 0 \\360 & 1 \\\end{array}[/tex]
The function y = cos x starts at 1, then decreases smoothly through 0 at 90° to -1 at 180°.
It then increases smoothly through 0 at 270° to 1 at 360°, and the cycle repeats.
The minimum value is -1.
The maximum value is 1
The range is −1 ≤ y ≤ 1.
