Find the maximum and minimum values of the function g(theta) = 6theta - 8sin(theta) on the interval [0, pi/2]

Explanation
We are given the following function:
[tex]g(\theta)=6\theta-8\sin(\theta)[/tex]We are required to determine the minimum and maximum values of the function in the given interval.
This is achieved thus:
Using a graphing calculator to graph the given function, we have:
From the graph, we have:
[tex]\begin{gathered} minimum=-0.955 \\ maximum=1.42 \end{gathered}[/tex]Hence, the answer is: