91Ó°ÊÓ

For the following exercises, let \(f(x)=\cos x\) On \([0,2 \pi),\) solve \(f(x)=\frac{1}{2}\)

For the following exercises, let \(f(x)=\cos x\) On \([0,2 \pi),\) find the \(x\) -intercepts of \(f(x)=\cos x\)

For the following exercises, let \(f(x)=\cos x\) On \([0,2 \pi),\) find the \(x\) -values at which the function has a maximum or minimum value.

For the following exercises, let \(f(x)=\cos x\) On \([0,2 \pi),\) solve the equation \(f(x)=\frac{\sqrt{3}}{2}\)

For the following exercises, let \(f(x)=\cos x\) Graph \(h(x)=x+\sin x\) on \([0,2 \pi] .\) Explain why the graph appears as it does.

For the following exercises, let \(f(x)=\cos x\) Graph \(f(x)=\frac{\sin x}{x}\) on the window \([-5 \pi, 5 \pi]\) and explain what the graph shows.

A Ferris wheel is 25 meter in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the Ferris wheel is level with the loading plafform. The wheel completes 1 full revolution in 10 minutes. The function \(h(t)\) gives a person's height in meters above the ground \(t\) minutes after the wheel begins to tum. a. Find the amplitude, midline, and period of \(h(t) .\) b. Find a formula for the height function \(h(t)\) c. How high off the ground is a person after 5 minutes?

Explain how the graph of the sine function can be used to graph \(y=\csc x\)

Explain why the period of \(\tan x\) is equal to \(\pi\)

Why are there no intercepts on the graph of \(y=\csc x ?\)