Answer
The next positive x-intercept is $~~x = 3.464$
Work Step by Step
The least positive x-intercept of the graph of this function is $x = 0.322$
Since the period of this function is $\pi$, we can find the next positive x-intercept.
$x = 0.322+\pi = 3.464$
The next positive x-intercept is $~~x = 3.464$