using the unit circle, on what interval is the cosine function increasing? (0, π) (0, π/2) (π, 2π) (π/2, 3π/2)
using the unit circle, on what interval is the cosine function increasing? (0, π) (0, π/2) (π, 2π) (π/2, 3π/2)
Answer
Explanation:
Step1: Recall cosine on unit - circle
The x - coordinate of a point on the unit circle $(x,y)=(\cos\theta,\sin\theta)$ represents the cosine value.
Step2: Analyze intervals
As we move counter - clockwise around the unit circle, the cosine function is decreasing from $0$ to $\pi$ and increasing from $\pi$ to $2\pi$.
Answer:
$(\pi, 2\pi)$