On the unit circle, the cosine of \(\theta\) corresponds to the x-coordinate of a point on the circle.
The largest value of cosine \(\theta\) is 1, which occurs at \(\theta = 0\) (or any integer multiple of \(2\pi\)).
The smallest value of cosine \(\theta\) is -1, which occurs at \(\theta = \pi\) (or any odd multiple of \(\pi\)).
So:
- The largest value of cosine of \(\theta\) is 1.
- The smallest value of cosine of \(\theta\) is -1.