question 13 of 20 evaluate cos⁻¹ 1/2. enter your answer in radians.
question 13 of 20 evaluate cos⁻¹ 1/2. enter your answer in radians.
Answer
Explanation:
Step1: Recall inverse - cosine definition
The inverse - cosine function, $\cos^{-1}(x)$, gives the angle $\theta$ such that $\cos(\theta)=x$ and $0\leq\theta\leq\pi$.
Step2: Find the angle
We want to find $\theta$ such that $\cos(\theta)=\frac{1}{2}$ and $0\leq\theta\leq\pi$. We know that $\cos(\frac{\pi}{3})=\frac{1}{2}$.
Answer:
$\frac{\pi}{3}$