## Calculus 8th Edition

$\theta = \frac{\pi}{3}+\pi n, \frac{2 \pi}{3}+\pi n$ are the critical numbers.
Find the critical numbers of $g(\theta) = 4\theta -\tan \theta$ Differentiate and set the derivative $=0$ $g'(\theta) = 4-\sec ^2 \theta$ $\sec ^2 \theta = 4$ $\sec \theta = \pm 2$ $\theta = \frac{\pi}{3}+\pi n, \frac{2 \pi}{3}+\pi n$ are the critical numbers.