question 29 (1 point) at what value(s) of x in the interval -π/2, π/2 does the function tan x have an…

Explanation:

Step1: Recall the definition of tangent function

$\tan x=\frac{\sin x}{\cos x}$. Infinite discontinuity occurs when the denominator $\cos x = 0$.

Step2: Find when $\cos x=0$ in given interval

We know that $\cos x = 0$ when $x=\pm\frac{\pi}{2}+k\pi,k\in\mathbb{Z}$. In the interval $\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$, $\cos x = 0$ at $x =-\frac{\pi}{2}$ and $x=\frac{\pi}{2}$.

Answer:

B. $-\frac{\pi}{2},\frac{\pi}{2}$