Question
What is the largest value of cosine of θ
on the unit circle? What is the smallest value of cosine of θ
?(1 point)
The largest value of cosine of θ
is
. The smallest value of cosine of θ
Remaining Attempts : 3
on the unit circle? What is the smallest value of cosine of θ
?(1 point)
The largest value of cosine of θ
is
. The smallest value of cosine of θ
Remaining Attempts : 3
Answers
GPT-4o mini
On the unit circle, the cosine of an angle θ corresponds to the x-coordinate of a point on the circle.
1. The largest value of cosine of \( \theta \) is \( 1 \), which occurs at \( \theta = 0 \) radians (or any multiple of \( 2\pi \)).
2. The smallest value of cosine of \( \theta \) is \( -1 \), which occurs at \( \theta = \pi \) radians (or any odd multiple of \( \pi \)).
So the answers are:
- The largest value of cosine of \( \theta \) is **1**.
- The smallest value of cosine of \( \theta \) is **-1**.
1. The largest value of cosine of \( \theta \) is \( 1 \), which occurs at \( \theta = 0 \) radians (or any multiple of \( 2\pi \)).
2. The smallest value of cosine of \( \theta \) is \( -1 \), which occurs at \( \theta = \pi \) radians (or any odd multiple of \( \pi \)).
So the answers are:
- The largest value of cosine of \( \theta \) is **1**.
- The smallest value of cosine of \( \theta \) is **-1**.