question 5(multiple choice worth 1 points) (tangent function behavior lc) for the function f(x) = tan x, the…

question 5(multiple choice worth 1 points) (tangent function behavior lc) for the function f(x) = tan x, the slope of the terminal ray of the angle π/3 is √3. determine the next positive angle where the slope of the terminal ray is equal to √3.

question 5(multiple choice worth 1 points) (tangent function behavior lc) for the function f(x) = tan x, the slope of the terminal ray of the angle π/3 is √3. determine the next positive angle where the slope of the terminal ray is equal to √3.

Answer

Answer:

$\frac{4\pi}{3}$

Explanation:

Step1: Recall tangent - function period

The period of $y = \tan x$ is $\pi$.

Step2: Find the next positive angle

Given the angle $\frac{\pi}{3}$, add the period $\pi$. So $\frac{\pi}{3}+\pi=\frac{\pi + 3\pi}{3}=\frac{4\pi}{3}$.