91Ó°ÊÓ

For the following exercises, let \(f(x)=\frac{3}{5} \cos (6 x)\) What is the smallest possible value for \(f(x) ?\)

For the following exercises, let \(f(x)=\frac{3}{5} \cos (6 x)\) Where is the function increasing on the interval \([0,2 \pi] ?\)

For the following exercises, find and graph one period of the periodic function with the given amplitude, period, and phase shift. Sine curve with amplitude \(3,\) period \(\frac{\pi}{3},\) and phase shift \((h, k)=\left(\frac{\pi}{4}, 2\right)\)

For the following exercises, find and graph one period of the periodic function with the given amplitude, period, and phase shift. Cosine curve with amplitude \(2,\) period \(\frac{\pi}{6},\) and phase shift \((h, k)=\left(-\frac{\pi}{4}, 3\right)\)

For the following exercises, graph the function. Describe the graph and, wherever applicable, any periodic behavior, amplitude, asymptotes, or undefined points. $$ f(x)=5 \cos (3 x)+4 \sin (2 x) $$

For the following exercises, find the exact value. $$ \sin ^{-1}\left(\frac{\sqrt{3}}{2}\right) $$

For the following exercises, find the exact value. $$ \tan ^{-1}(\sqrt{3}) $$

For the following exercises, find the exact value. $$ \cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right) $$

For the following exercises, find the exact value. $$ \cos ^{-1}(\sin (\pi)) $$

For the following exercises, find the exact value. $$ \cos ^{-1}\left(\tan \left(\frac{7 \pi}{4}\right)\right) $$