solve the equation for exact solutions. 3 arccos x = 2π solve the equation for exact solutions. select the…

solve the equation for exact solutions. 3 arccos x = 2π solve the equation for exact solutions. select the correct choice below and, if necessary, fill in the answer box within your choice. o a. the solution set is. (simplify your answer, including any radicals. use integers or fractions for any numbers in the expression.) o b. the solution is the empty set.
Answer
Explanation:
Step1: Isolate arccos x
Divide both sides of the equation $3\arccos x = 2\pi$ by 3. We get $\arccos x=\frac{2\pi}{3}$.
Step2: Use the definition of arccosine
If $\arccos x = \theta$, then $x=\cos\theta$. Here $\theta=\frac{2\pi}{3}$, and $\cos(\frac{2\pi}{3})=-\frac{1}{2}$.
Answer:
A. The solution set is $\left{-\frac{1}{2}\right}$